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【百年教育职业培训中心】线性代数-章节资料考试资料-南京工程学院 (2)

来源：百年教育职业培训中心　更新时间：2022-05-30 22:00:37

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1.1 二、三阶行列式（测验）

1、【填空题】<img src="http://edu-image.nosdn.127.net/4D32558995D1703ADA3E1A781BF31387.png?imageView&thumbnail=890x0&quality=100" />

A、

1.2 n阶行列式（测验）

1、【填空题】<img src="http://edu-image.nosdn.127.net/6005F24548B553B74DD231F8F01DD066.png?imageView&thumbnail=890x0&quality=100" />

A、

1.3 行列式的性质（测验）

1、【判断题】若行列式的值为零，则该行列式有两列元素对应成比例.

A、正确

B、错误

2、【判断题】<img src="http://edu-image.nosdn.127.net/7B20D9EC2B0AFCBC4A5B702C9D9DAD60.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

3、【填空题】<img src="http://edu-image.nosdn.127.net/CC9961F8A94633269815DD1CEEE4C517.png?imageView&thumbnail=890x0&quality=100" />

A、

1.4 行列式的计算1（测验）

1、【单选题】<img width="502" height="73" style="width: 402px; height: 62px;" src="http://edu-image.nosdn.127.net/DB4A278A29EF51C72F98A1C8F34F8377.png?imageView&thumbnail=890x0&quality=100" />

A、-6

B、4

C、12

D、24

2、【填空题】<img width="381" height="132" style="width: 334px; height: 111px;" src="http://edu-image.nosdn.127.net/3E549CECCB2E6B96CBE3CEE1CB5104ED.png?imageView

A、

3、【填空题】<img width="238" height="100" style="width: 205px; height: 78px;" src="http://edu-image.nosdn.127.net/3D6319C0F63097E990A8079D0607A3C3.png?imageView&thumbnail=890x0&quality=100" />

A、

1.4.2 行列式的计算2（测验）

1、【单选题】<img width="305" height="99" style="width: 264px; height: 71px;" src="http://edu-image.nosdn.127.net/006D04413E96ED881125ED405D320994.png?imageView&thumbnail=890x0&quality=100" />

A、<img width="121" height="23" style="width: 104px; height: 19px;" src="http://edu-image.nosdn.127.net/41D041C29D78892A87E39958209DD164.png?imageView&thumbnail=890x0&quality=100" />

B、<img width="122" height="24" style="width: 106px; height: 16px;" src="http://edu-image.nosdn.127.net/18A2151384B9CA2D7D1860AE3E41A16C.png?imageView&thumbnail=890x0&quality=100" />

C、<img width="158" height="24" style="width: 133px; height: 24px;" src="http://edu-image.nosdn.127.net/5A95DA367A6C091DE86272296EDF83DF.png?imageView&thumbnail=890x0&quality=100" />

D、<img width="156" height="25" style="width: 149px; height: 23px;" src="http://edu-image.nosdn.127.net/0B4ABF1B8810356277E9D6F564FBE7B4.png?imageView&thumbnail=890x0&quality=100" />

1.5克拉默法则及应用（测验）

1、【判断题】非齐次线性方程组的系数行列式等于零则该方程组无解。

A、正确

B、错误

单元测验1

1、【单选题】<img src="http://edu-image.nosdn.127.net/ECE873EEDD5A97D6BEF5CE500A444A6D.png?imageView height: 27px;" />

A、A中必有一行为零;

B、 A中必有两行成比例;

C、A中必有两列成比例;

D、以上都不对.

2、【单选题】<img src="http://edu-image.nosdn.127.net/17368FBC3A0CABED85E7680720D529CB.png?imageView height: 47px;" />

A、-3

B、-1

C、1

D、3

3、【单选题】<img src="http://edu-image.nosdn.127.net/0EBE94CA84ACB130B67DDCF7DA45D46E.png?imageView height: 63px;" />

A、2

B、3

C、-2

D、-3

4、【单选题】<img src="http://edu-image.nosdn.127.net/91922DC1FB45116F93E0D252264B2FE6.png?imageView height: 108px;" />

A、0

B、1

C、-1

D、6

5、【单选题】下列说法不正确的是（）

A、任意行列式可由对角线法则进行计算；

B、同一行列式的按行按列展开结果是相同的；

C、行列式中某一行元素与另一行的元素的乘积之和为零；

D、高阶行列式的计算可以转化为低一阶的行列式计算.

6、【填空题】<img src="http://edu-image.nosdn.127.net/58B91F43DA36628CA326E042039B0BE8.png?imageView height: 89px;" />

A、

7、【填空题】<img src="http://edu-image.nosdn.127.net/9A5A01924592A7E849260D72F7140779.png?imageView height: 43px;" />

A、

8、【填空题】<img src="http://edu-image.nosdn.127.net/0A05256D8C8C667BE41EDD36851EED22.png?imageView height: 73px;" />

A、

9、【填空题】<img src="http://edu-image.nosdn.127.net/8ECD8E86190E8E4425055E294DC5CD7A.png?imageView height: 68px;" />

A、

10、【填空题】<img src="http://edu-image.nosdn.127.net/D2A19DA3BDB4B772A4D4857BF0A3169A.png?imageView height: 90px;" />

A、

2.1.1 矩阵的概念及其线性运算（测验）

1、【单选题】下列说法正确的是

A、所有单位矩阵都相等

B、所有零矩阵都相等

C、任何两个矩阵都可以相加

D、一个矩阵与它的负矩阵相加的值为零

2、【填空题】<img src="http://edu-image.nosdn.127.net/9BB1480317FE5DE04D2DB1F724D552E1.png?imageView备注：请大家回答本题时务必注意下面提示格式，否则将不得分。由于无法输入公式、矩阵形式，所以答案如果是矩阵请从矩阵的第一行开始从左到右写数字，然后用逗号“，”隔开，每一行写完用分号“；”隔开，并且中间不要加任何空格。如下面示例：<img src="http://edu-image.nosdn.127.net/A755544AADD360E74539F37A46202455.png?imageView height: 68px;" />，最后结果要写成：2,4,0；4,2,0；0,0,2

A、

2.1.2矩阵与矩阵的乘积（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/6A0737B0D9C260C83211A3AD2963D3E8.png?imageView下列说法正确的是（）

A、<img src="http://edu-image.nosdn.127.net/28719011E3C9CE8B15C469FE89C35BD4.png?imageView&thumbnail=890x0&quality=100" style="width: 94px; height: 15px;" />

B、<img src="http://edu-image.nosdn.127.net/309EBDA719238F2CD6F14C5EA8DE2248.png?imageView&thumbnail=890x0&quality=100" style="width: 60px; height: 12px;" />

C、<img src="http://edu-image.nosdn.127.net/7DBD926CD0B3005A9247722A23E20186.png?imageView&thumbnail=890x0&quality=100" style="width: 56px; height: 13px;" />

D、<img src="http://edu-image.nosdn.127.net/6BB7FC993CC7F2C22E41BB17065A59A1.png?imageView&thumbnail=890x0&quality=100" style="width: 177px; height: 19px;" />

2、【单选题】下列不可以作乘法运算的是（）

A、<img src="http://edu-image.nosdn.127.net/69A6C70F30F967FD227BE34E22942E56.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/8FA1D5D39B8FA061C596004F8EF474E3.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/367C102471F2F7C26860F1B08E8871D8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/33FABEAAED12AD57D97112789DE00F0D.png?imageView&thumbnail=890x0&quality=100" />

3、【判断题】矩阵与矩阵相乘没有交换律（）

A、正确

B、错误

4、【判断题】两个非零矩阵相乘，一定还是一个非零矩阵（）

A、正确

B、错误

5、【判断题】两个矩阵A , B 满足 AB=O, 则有A=O或B=O . （）

A、正确

B、错误

2.1.3 方阵的行列式、幂与矩阵的转置（测验）

1、【单选题】下列说法错误的是（）

A、<img src="http://edu-image.nosdn.127.net/D1D7CFE41568942C8C65B6D18442AA9C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/EAC826B5217E9A3E48434D8727B6F61B.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/0DBCBBDAFF60E6AB8BD12B62F6C1F829.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/C2E937741EE7F43E7C1B0A0FBA28F793.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】下列关于对角矩阵的说法，错误的是（）

A、<img src="http://edu-image.nosdn.127.net/63B8E170635344DC1ADEB428C22FB9DD.png?imageView&thumbnail=890x0&quality=100" style="width: 220px; height: 20px;" />

B、<img src="http://edu-image.nosdn.127.net/EAA465793660173521651BEE80A18C8F.png?imageView&thumbnail=890x0&quality=100" />

C、若 A , B 是对角矩阵，则 A +B 也是对角矩阵

D、若 A , B 是对角矩阵，则 AB 也是对角矩阵

3、【单选题】下列说法错误的是（）

A、<img src="http://edu-image.nosdn.127.net/D777DB7E21DC84ADA9EF3AF7CB455BE2.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/74A95A6A3856000AF8281890984D6EBD.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/80F2E24EFDAE16E5264D389162582F6C.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B2DDDDF829B121F8865265150664B054.png?imageView&thumbnail=890x0&quality=100" />

2.2.1 逆矩阵的概念与判定（测验）

1、【判断题】<img src="http://edu-image.nosdn.127.net/55A00D881CC2592FAE56C31E19BB5682.png?imageView

A、正确

B、错误

2、【判断题】<img src="http://edu-image.nosdn.127.net/01140F1734A08EF3803F08B3BB031F5E.png?imageView

A、正确

B、错误

3、【判断题】若方阵A 的对应两行成比例，则方阵A 一定不可逆。 ( )

A、正确

B、错误

2.2.2 逆矩阵的性质与应用（测验）

1、【单选题】设A、B为n阶方阵，|A|=2，|B|=1，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_47b70254-a326-404e-9e68-596873cd2d53.png" />

A、-2

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_894d7516-3ff4-47fd-9599-7aeaf8851c94.png" />

C、<img src="http://edu-image.nosdn.127.net/C38B86E697DB9DA55DDEE00836928857.png?imageView&thumbnail=890x0&quality=100" />

D、2

2、【单选题】A,B 为同阶方阵，则下列结论中错误的是（）

A、<img src="http://edu-image.nosdn.127.net/5ED585EEDA054FB905DC4468F8091590.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/EE8A2CCF1EDEB6540EB54673AEBD91CE.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/18958C4AF27DB95B02E2BAE3F381BF67.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/3D3D25A22AC2680B949D05E9D47BAE0A.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/CA78CE6E70AB3338EDB5FFB4C8AAEAC2.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/ED43FB64A306A8275854A5369B653E76.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BA513F9FE94B831987CC1425EFC21C19.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/87DA64385AF121164AEF7C3434551C61.png?imageView&thumbnail=890x0&quality=100" />

D、无法计算

4、【判断题】两个可逆矩阵的和也是可逆矩阵。（）

A、正确

B、错误

5、【判断题】<img src="http://edu-image.nosdn.127.net/8123357B1F7714B9D1A10948324C5C8E.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

2.3 分块矩阵（测验）

1、【判断题】对角分块矩阵可逆的充要条件是对角线上每一个子块矩阵都可逆。（）

A、正确

B、错误

2.4.1 矩阵的初等变换（测验）

1、【判断题】矩阵的初等变换保证了线性方程组的等价性。（）

A、正确

B、错误

2、【判断题】设方阵A的行列式不为零，则对该矩阵A施以矩阵的初等变换后得到的新矩阵的行列式的值也不为零。（）

A、正确

B、错误

3、【判断题】副对角线非零的对角形矩阵是行阶梯形。（）

A、正确

B、错误

2.4.2 初等矩阵（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/4E9B7C54CB8A55FC0F1A4365BE984869.png?imageView则必有( )

A、<img src="http://edu-image.nosdn.127.net/9C59FE708BDE44BF9ED4DBB2EC547065.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4D4D3A6F5F2E6DE62EA4522ABF87303D.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/BD4BF5855FC2D8D276BAC144B74B550F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/0B5FDEA69BD9AF19CFC4C9908B44A80B.png?imageView&thumbnail=890x0&quality=100" />

2.4.3 初等变换法求逆矩阵、解矩阵方程（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/5B1C679E8B6E4E2CB15298038C9D83FF.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/279DBD1DB9CD36E46601E9DE1753238F.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/15097A9CC4DC687A7B2CD213D26F86FF.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/EF956B68CA57328873D0B60300C0E4B4.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B3F30BA3828896111891834568576D6A.png?imageView&thumbnail=890x0&quality=100" />

2、【判断题】用初等变换求解矩阵方程时要注意形式 AX=B 还是 XA=B，两者的求解方法有区别。

A、正确

B、错误

2.5.1 矩阵秩的概念（测验）

1、【判断题】如果一个矩阵的秩为4，则该矩阵所有的4阶子式都非零。( )

A、正确

B、错误

2、【判断题】零矩阵没有秩。( )

A、正确

B、错误

3、【判断题】单位矩阵的秩为它的阶数。( )

A、正确

B、错误

2.5.2 矩阵秩的性质与计算（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/6010135378E4BB2DC68A0ABCF4C32263.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/CA641CD0C1093BB0F003E46386AA972E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5491F787E50E9F8EA78BADB0379D2030.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/ADA251C8622EFCD62E915733A90232A4.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4105B78C20B263834B9A36060FB011D8.png?imageView&thumbnail=890x0&quality=100" />

2、【判断题】同型矩阵的和的秩小于等于各自矩阵的秩的和

A、正确

B、错误

单元测验2

1、【单选题】<img src="http://edu-image.nosdn.127.net/1E56136B3CE5CBD117B5D45568D69AE7.png?imageView

A、<img src="http://edu-image.nosdn.127.net/F4F4CEBE9532745E52C18FE3676DB13F.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/AE046453A14BDCAF016DB34BCA5DDD94.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/A209B78AD30024EDB36A43DAE3A61D46.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4C45804CCD8CF8BDFE3FC79C41B0F8C0.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/1A85A572E03FA2C03227EAD3D9B405D7.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/651AC1BC5E46D0D010B3BADF0FCCCE20.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/C8A5BBAF5A35AC607C97AF8F9488361F.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/B5CA945767C03B46E4609200C5714C6C.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/56BE9FC2838D4CB183B365916684DC3C.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/18A78D9FE098F10D1F79538DC91670E5.png?imageView

A、 P1A= B ;

B、 P2A= B ;

C、AP1 = B ;

D、AP2 = B .

4、【单选题】<img src="http://edu-image.nosdn.127.net/EB413DB6A1C510F3D2B724A1150A2167.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/0B959588A8CE82955BA2DC18D4769D2C.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4039D1F478DA0CBFDF54F695E8D08EE1.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/7FEDF19E172EB6FB8FDFFE4D664760B3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/2D5F51F8FC745DA4ABFFEF10FD021FF9.png?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/C4784B11CAA5EDDC3BA45FCD0C457CE6.png?imageView

A、1

B、2

C、-1

D、-2

3.1.1 线性方程组的解的判定与求解（一）（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/87721236B50F4ED8A55ADA757C4628A8.png?imageView

A、<img src="http://edu-image.nosdn.127.net/1AB2AE2189B73859123996845D98D332.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/74125E8FE4804C9FFDA2D8A036BB5DFC.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/056B45509F92F9D976C5A39639E702A3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/A0ACCEA7101E9405F2E49EE11C5A3559.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/05758ADE29955028F78BD1F59BE51164.png?imageView

A、<img src="http://edu-image.nosdn.127.net/B8BF2303C6C7204B910DC4DC0429C75E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/A335A846FADDBB5D186362FAFDDB1B09.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/93B7CEB4615C247CD1ECEB1E49C101F2.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F78B81371AB4340A4007A6DBD64011D9.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/7566DA3AA3564612DA75AE1E085A6D7C.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/332784AD40D626B68955F304F6DC9C88.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/28824DCF47C0CEBEC5DD76D9D4276181.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/597297F2C8B3BBE142481975E59010EE.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/DEDD2F537A393815ADA398B7B6BDA66C.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/D7973097B0910CD7AC3D7386C711DA05.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/9615159F6AC588BFB55ABC248EBAFB48.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/C6E37924562947884F2EFBD258F61811.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/762852DB992B92876466272F22D46571.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/636B26B0CA25D57264748E0620D7F980.png?imageView&thumbnail=890x0&quality=100" />

5、【判断题】<img src="http://edu-image.nosdn.127.net/16D0653F06B5FBBFAD4E4D3507C29E5B.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

6、【判断题】<img src="http://edu-image.nosdn.127.net/9729373EAF72B05D08C33EA5BAE32597.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

7、【判断题】<img src="http://edu-image.nosdn.127.net/0062BC13AA3FB5915EA7258EEE256C8A.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

3.1.2 线性方程组的求解（二）（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/F5B773685C882FCDD3A8EC18FA99CF51.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/5E672E979D6C54A1D40155A3B89C1AEF.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/FA7B8BD3E7F901889BECFD9B3EBAD301.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/2EBB989C9D95FF6B24D16F97179830B3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/05D52C5D480D9B3AE232E5E2A30B6A40.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/00CCD32314B154A5DF2BFA737717EFC4.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/38A751705E30AA273A610696B2FF8C09.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/958E3E3A9D212D9DBF5D6AAF4BBC4B9C.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8D9FA19FA541EF463229EC871C5808ED.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4765E9B031827089342ABAFFF451D6A6.png?imageView&thumbnail=890x0&quality=100" />

3.2.1 向量组的线性表示与等价（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/695933AF243B17B43BE1823636A1C0B4.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/0EE5F060C8AD764424B17A9501F954E5.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/676F1FAFF7748CF50E2AB800336E5367.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/2711EF294E0B1796037A16199F32C6A5.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/68971EEC59F00C6274ED3F88164DBF1B.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/0FA6938984A0D86A77ADA599FC034D66.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/867C63E0C6C56A4606D232D7CE70F9CE.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0D6EE9446F19E62B6E9F8BA9F99D8C83.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/67DF10249BFBA850FCFA641B621E26D8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/531723391407D5994F35F825944C2308.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/BE01AE60A42482654158829800FA3D71.png?imageView

A、<img src="http://edu-image.nosdn.127.net/4D6F40C5B362A833275F7766A1529E65.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/B2A525FA8CA3E8437CA05A21AC07E15C.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/E8F61893CEB3690F7F06CBD5BD30B54F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/36DDBA5ADBDA011B3BBFDE56CA9E90F4.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/EF8FDC82EA2715F773D28A7DFDC7F811.png?imageView

A、<img src="http://edu-image.nosdn.127.net/5F5200EAFA79C94051577C697566FCBC.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F99B6F2DBCDF453040A1087CCE5BFD5C.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/B98E7C71DD58CA09632E8B694EBE47FB.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/C5D71D5C37966233B21D7857168AF3AF.png?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/7775851BAB75083AA928FDB09E164DD3.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/7723BB5DEB64E27D5B8FC4F21414AE52.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0E7AE2236327FDC9278326F122168914.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/D1930C6E1EB06D662F325DFFDCEC7655.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/05B2BCD703D10C3C0EE97C53B7AF930D.png?imageView&thumbnail=890x0&quality=100" />

6、【判断题】<img src="http://edu-image.nosdn.127.net/5DF416E40E83B6CDA2BA96B09003CB96.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

3.2.2向量组的线性相关性的概念与判定（一）（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/28D7BC531E1C6F211006AB64EF447650.png?imageView

A、<img src="http://edu-image.nosdn.127.net/88B44C669F90A1D01A00B685C42596B9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/9958C8AD873CE59E5F76BBB56B665D80.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/4543BB2A58A82C5B977E64417ABE499F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B27C17330E49BC8DD20FEFD556A95806.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/FB5F465ADB62BBE27F1BFB6F09E9F293.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/4FB2AB843218592A7B19EF59922107D2.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5E23042F925513848843486627614E2E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/7788227B7C9BF6735C9913E8112DC5AF.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/5C9E03D2A7CCA657840BA98EA8E1834A.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/BD8961FB21DAFFF3930BF0AE9C510B59.png?imageView

A、<img src="http://edu-image.nosdn.127.net/91D7B58653207B911063CE7F38ABF3A9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/37837AEFD5FE00F87ED4AB5BED7269E7.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/620582ACFA47FFF112031E10E917529A.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/2C52948025DC61F2309739229B155C46.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/5A1DDE783F59841B1AA3F88ECCFF7A14.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/877445406475E674271EEB68624BFD0F.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/8D71795E6B1D5381A02738BF0C7773F1.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/4B05337A27F8B365432B5DC3E8808311.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/9136A4558DD2303314E206BCF54AC505.png?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/6E9FB554D1C1C939B9C7F05B4B054802.png?imageView

A、<img src="http://edu-image.nosdn.127.net/6E41D5121A19DF0AE9F5AFD20ADB639D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/4F84D4AF17B0E0508BC934EEEAB17145.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/2CC2368D90757D29BB9991A64EC63B1E.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/A4C9C270FE9D79B7B1608DC2F1029D67.png?imageView&thumbnail=890x0&quality=100" />

6、【单选题】<img src="http://edu-image.nosdn.127.net/AC1AE0D6ED09D3D9790DB98DDDBB79EA.png?imageView

A、<img src="http://edu-image.nosdn.127.net/EDCD469958564B815A39FF9E7DED36C9.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/CE40869062D450FA8384D962C99794EF.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/19398EC76A9FEA52204114D91644B085.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/1AEEC04539446B445E71BF527F0FB90A.png?imageView&thumbnail=890x0&quality=100" />

7、【单选题】<img src="http://edu-image.nosdn.127.net/D0BCD13FCF3204461CFD683D49B9C9CF.png?imageView

A、<img src="http://edu-image.nosdn.127.net/1FAD3E5C9F2DB0B282A8CD1D862DF1C4.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0176AAEAEE4BD8F31835C4787F6EB6EC.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/D168D44959CFC807E85867C0D7D1AECF.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/B448A59B0292311B651EF8595A1905BA.png?imageView&thumbnail=890x0&quality=100" />

8、【单选题】<img src="http://edu-image.nosdn.127.net/69535059BCE6B8F095F869A974ED3A31.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/35D7BBBA9B302F61F93FE752A7F94349.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/DD41FE06B7AFF9FD768A0349C29E44E0.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/C5A612DC87CA2E343080FC884FC9DD5B.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/1FD8513DC65821C70161DC3D07558320.png?imageView&thumbnail=890x0&quality=100" />

9、【判断题】<img src="http://edu-image.nosdn.127.net/C3E8E2CC0CF9655209C220C3E187528A.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

10、【判断题】<img src="http://edu-image.nosdn.127.net/74FCD3371853BB1AD9DFD85F1FB6D12B.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

11、【判断题】<img src="http://edu-image.nosdn.127.net/13289155DFCA54EAEB379968415907C9.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

3.2.3 向量组的线性相关性的判定（二）（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/06D9CD19E7B0C92DE64B66312E71589E.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/436CDF5962CAB5006FE230F612EFDB70.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/58F3300640AE7AF6C5A6E33F0C9604FF.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/7F90E88BBA7F73E3D8BEF973AAA14CB2.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8AC7CAE5F058084D05FE0CB6E21FE9AF.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/706B65D7BC1E22CBFF6F6FEA121B57A2.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/C8A66FAA8872B50509C45DA9B0039FD1.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/22B7CD508784EAC370B896B1DC9997E4.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/CA9D64A3EF7E6CE9A349634482B03B0C.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/141C22E1F5C36B10B5523F8553A0A4C4.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/D22F7135DE93349696242C9D54DD9132.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/020CD12C3A893D94903B0E064DB9B9C3.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F60D1A9B2098C594332E8F4723E97E7E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/49184AEEC04A8303B24F3679B6F4F4B8.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/A0C0A688C398C87AAED56CDBF969A1E3.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/514BD4ACD14FF913D6DAEB188C93532B.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/63E1B4272C317BCD02D34EBB7C41FF3D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/A5CB1D1958BF9D87975925C878AA8EF3.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/FFAB41A6E27DDB0504C802DF4C600EC7.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/EA0A17EC821C2E688E34E7B6FF97E9E1.png?imageView&thumbnail=890x0&quality=100" />

5、【判断题】<img src="http://edu-image.nosdn.127.net/8E1AFCE84900AA5F07F8664BE7E24A49.png?imageView

A、正确

B、错误

6、【填空题】<img src="http://edu-image.nosdn.127.net/0A219DB9C00A9CA854354981BD550F62.png?imageView

A、

3.3.1 向量组的秩与极大无关组的概念（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/E4A0E8AEABBFF75E85E557B0554EC44D.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/18FE77DA9E0E91E9D9514BA1E54A5D67.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/3A6E0E6233EBA69895A325E086D91097.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/89EEE802DE28393BDE4E9553E6CB9A49.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/DD2D6F8AEB4A8C9CB0F7A0146F60106E.png?imageView&thumbnail=890x0&quality=100" />

3.3.2向量组的秩与极大无关组的求法（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/D4F679BED015046834E0CAE54A71A95E.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/770EBF217B4AD0A4E0604052868E080E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/9676CC674A4CCFFCC6A39F5813EE6EDD.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/52DB46D78949259C51335C0831A77012.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F28AFEAC2C51CBCBD66BCCBAB6D56EB3.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/BC231700C499040B6F3318B2959A8F07.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/BBEACDD925EADC7FB82EF05197562435.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/5CD5AA6CFF2CD94E9D4FC409DD944363.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/AF0C90B0577FF0F227521CEB77608DE0.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/06BF1ED8056242AB98F230AA1584B2A7.png?imageView&thumbnail=890x0&quality=100" />

3、【填空题】<img src="http://edu-image.nosdn.127.net/85D190EED616379EA639F5D4B3420ABA.png?imageView&thumbnail=890x0&quality=100" />

A、

3.4.1 齐次线性方程组的解的结构（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/284F233BFF7E5A91F0B01218B0FA467F.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/0AA1E1D338E58B090BE942017611104F.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F22343FC5F59A9F760D98F9B13F145F1.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8232DA25C655BD8FB06879D55D64EB76.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/7066A3289A7015726E3BD82DC0FDB1B0.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/3961B1D356ABF807707BC322F9C039C5.png?imageView

A、<img src="http://edu-image.nosdn.127.net/79F295B5AF971F86FD870F4A8B81FB16.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/1A5395D6D8E2ACB4D8966B28D217E3ED.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/F9C9F4ED7B229F70092839B537530B93.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/0D80834BEF1676AEF43CC2498CA869A1.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/A09D3377DC8FEA905765C707F8C534AF.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/A92B3A92779A3EF218223E93DB351D8B.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/6C2C95FEF1D1CBFB9D0A9AAB6BCCA64C.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/228ED9BAD55AA3881BC6601FC55F2199.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/7FA08A9FF9023E70B96899A1BA6F70A5.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/7FB630562F8BE1D73D5675EBED05D3FF.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/D0763898DCA378F18DA72B6BB020E863.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/036B8C38D862F1B3F3DC05669517137C.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/162B5A58B7F0BB330A400B4BF32EDCFD.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/ADB9A8B467E372CB231774E3FA348A9D.png?imageView&thumbnail=890x0&quality=100" />

5、【判断题】<img src="http://edu-image.nosdn.127.net/E6DA5555CF468E09D0617A5E2DB883C5.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

6、【判断题】<img src="http://edu-image.nosdn.127.net/C8125167A033678145D769DC47FAED4D.png?imageView

A、正确

B、错误

7、【填空题】<img src="http://edu-image.nosdn.127.net/33257DBC6A728006F29E8D5B8CAEA271.png?imageView

A、

8、【填空题】<img src="http://edu-image.nosdn.127.net/DEEFF35636D06C64206D89E9C50597A9.png?imageView

A、

3.4.2 非齐次线性方程组的解的结构（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/7E201474052D6AECC635D986FF79ED8A.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/DC98BB761ABA1B2A8A3307D5ED75126A.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/BA92D1C69C775CC868AF589AC27D4F4B.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/CD60FA299953BB7B3C81721B9E5F234C.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4527E9F34F60E8A28B05AF19D8B1CE26.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/81862D6E239F277D80844B4104D40BF1.png?imageView

A、<img src="http://edu-image.nosdn.127.net/2CDA3F2F5D45D0855256296EF22BC708.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/527A6F51310B0287668C6ECA86309C23.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/19ADE7EB536E00D1603BB323D9E67B82.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/7973C777FE7F2564F22EA5AFAEDBB6A1.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/AB30E8AFEB2709C18EFB09B558722A65.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/C5F8205B4AF7B1C27C102D41B38E7CF5.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/ACEDF81DD1B54A7BC517AD69E17DB7CB.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8CA477304DF028E49FCD4DD9E9A5E2B1.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/E9F153D0A915EF88300F8CC290A803E2.png?imageView&thumbnail=890x0&quality=100" />

4、【判断题】<img src="http://edu-image.nosdn.127.net/4970DCB7462A166C96865B8D5D3C1EB7.png?imageView

A、正确

B、错误

单元测验3

1、【单选题】<img src="http://edu-image.nosdn.127.net/044F7B485B4FCC0F9DD74A366312B2C7.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/C2B5FDAF4F090CB262D9BA2A8DAAA155.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/F78A0258DBE355AA58809D2B7F601D59.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/F9DC4E3582754835E946981E2948D839.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/A15DA31A49F6F6342F3B471602160B9C.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/3EE605112235A2BB96CE12F26CE65CC0.png?imageView

A、<img src="http://edu-image.nosdn.127.net/305B95E1A1870EC0498D730C3AE0424E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/E351B174A857C445226EF25AE0AD1D4E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/81F7CA6C65C34321008501B0900172A7.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/12A7BE515F7EC432EBDF57A150B19FBA.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/BB9D01110874269D4D0A371FB3337C06.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/9D06AB73D82F8B4B18DB3E545DB5B7BE.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/3262AC6B80031BFB5FFED978ABB45BBE.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/92433E857208B0A24EA2F1A99C27DFE9.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8D3AFE929066F5252EC1DC95FF75BA05.png?imageView&thumbnail=890x0&quality=100" />

4、【单选题】<img src="http://edu-image.nosdn.127.net/1B2D2F5B9D8914C2FB807FF521602DEA.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/EEA4D7E242DF386F1E3C9D3C7233B31D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/2B040807EA783487E20A383DBA768EAF.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/137D711470CC47536C52EAB466F63FEE.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/48E5F614672178E172DFEFD4C0199423.png?imageView&thumbnail=890x0&quality=100" />

5、【单选题】<img src="http://edu-image.nosdn.127.net/F9933B96B5D3C121B043D626D27240FB.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/FF7BF52AF39CF80406FCCAA9D89DD9CD.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/2AFC68FA71569916E6B981679C5E0F5E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/A5DE43509C5F27190594E7A42F43CC78.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F3F8E79DA73A3B3833A16131CFF64951.png?imageView&thumbnail=890x0&quality=100" />

6、【判断题】<img src="http://edu-image.nosdn.127.net/706694752DB50D4070BDDA21A9BB3900.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

7、【判断题】n元齐次线性方程组Ax=0有非零解，则相应的Ax=b必有无数多解。

A、正确

B、错误

8、【判断题】<img src="http://edu-image.nosdn.127.net/6ABCEF0F68A5BF81677CEF51629CBFA4.png?imageView

A、正确

B、错误

9、【判断题】<img src="http://edu-image.nosdn.127.net/1FDDE44346485A85AA2A215D99A8D390.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

10、【判断题】<img src="http://edu-image.nosdn.127.net/38A879BA1D614DAE19A7A1F763B8F05E.png?imageView

A、正确

B、错误

11、【填空题】<img src="http://edu-image.nosdn.127.net/CC8BB99D391CBA4999B61EAEF0156B57.png?imageView

A、

12、【填空题】<img src="http://edu-image.nosdn.127.net/17AB69B793B3227D99F3B2ED4D739F64.png?imageView&thumbnail=890x0&quality=100" />

A、

13、【填空题】<img src="http://edu-image.nosdn.127.net/187B9FF96B5F22FA07B0EEA4A1A68EC2.png?imageView

A、

14、【填空题】<img src="http://edu-image.nosdn.127.net/650D710FAD6D5E4B06C23461D7844BD4.png?imageView

A、

15、【填空题】<img src="http://edu-image.nosdn.127.net/CC564A8B8FF9CF8B3477769D66A7B4F8.png?imageView&thumbnail=890x0&quality=100" />

A、

4.1 .1向量的内积与正交性（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/0188F1D80EB1A4717B60D000BE971587.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/C663B44D7021A22CB472EBD3632AC09E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/28779CB1E9B5619E3EE8D732B5BBBE05.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/2F8B6BC7B6B6D3C10A6D10004E27E4DE.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/8C178851A5DE87D20569D415E452696E.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/EF16A52F1C6C738F4C10CF1533CE1FE9.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/771DAB775B66CEBDBDA8E1BB159F9A43.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/1A2619E4E3CA5B343D0C99D730D339C0.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/D5369326C621447D57B5CC42F3964CFE.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/50AF21122F7AFCB96A9BE664BD9973DB.png?imageView&thumbnail=890x0&quality=100" />

3、【单选题】<img src="http://edu-image.nosdn.127.net/450CC1A98A57ADDECBA2E2F839C0A59D.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/D18D20124AA74D1F3834462617E4A943.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/7CD4A240818765203F5A3108C641EF8E.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/5D0C72A9E4DB9EB71D0A742FA5F6BCA3.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/C89DD11EA87AC6C1051FA6FB2CE3D675.png?imageView&thumbnail=890x0&quality=100" />

4、【判断题】若n维向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_165b57fc-0cac-4a24-bd44-b3109489d9bd.png" />与任何n维向量都正交，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3755bb1b-7bbd-4c52-ba76-dea00cb4281c.png" />（）

A、正确

B、错误

5、【判断题】正交向量组组一定是线性无关的向量组（）

A、正确

B、错误

6、【判断题】<img src="http://edu-image.nosdn.127.net/5F7260C46034BF6696BC12FBEE31E80F.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

7、【判断题】<img src="http://edu-image.nosdn.127.net/17C0172BAAEE0FBCB381522AD61A1871.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

8、【判断题】<img src="http://edu-image.nosdn.127.net/C8C4DD31169CAD44F65CFE6D523C1F89.png?imageView

A、正确

B、错误

9、【填空题】已知向量<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e45cf0f9-429f-4ac9-9979-6701f81d2c3b.png" />，<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_5cf61595-ee68-49f7-bec2-8263fa2d0a3e.png" />,<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e28e96d3-e42f-436f-9862-df951680d240.png" />，则<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8af4f08c-ae8f-424d-b57f-4858a8420b5c.png" />___________.

A、

10、【填空题】<img src="http://edu-image.nosdn.127.net/67120033757F6AA094130239BC6D31B3.png?imageView&thumbnail=890x0&quality=100" />

A、

11、【填空题】<img src="http://edu-image.nosdn.127.net/1CC34F28371345BA0653FC4639E97E40.png?imageView

A、

12、【填空题】<img src="http://edu-image.nosdn.127.net/0E3C655E4DB4ABF99999D97C34C849AA.png?imageView

A、

4.1.2 向量组的施密特正交化、正交矩阵（测验）

1、【单选题】下列矩阵中不是正交矩阵的是（　　）

A、<img src="http://edu-image.nosdn.127.net/94A78D4B2157CB653F5C2CD53A4D1295.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/91CCB13D8466A96C8D2E5551D6B60713.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/7741186FF11ED249B4584FA78EBD4542.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/3638A11F7FCCD5CDF58B567656099258.png?imageView&thumbnail=890x0&quality=100" />

2、【判断题】设Ａ为正交矩阵，则Ａ的伴随矩阵也是正交矩阵.

A、正确

B、错误

3、【判断题】施密特正交化方法可以将任何一个非零向量组化为正交向量组.( )

A、正确

B、错误

4.2.1 矩阵的特征值、特征向量的概念与性质（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/346EC62148450774978590E10E80C2D5.png?imageView&thumbnail=890x0&quality=100" />

A、-E

B、2A

C、4E

D、5A-E

2、【单选题】<img src="http://edu-image.nosdn.127.net/A71BE073AF8E20529556A729F325DBB3.png?imageView

A、4/3

B、3/4

C、1/2

D、1/4

3、【单选题】矩阵A的属于不同特征值的特征向量（）.

A、线性相关

B、线性无关

C、两两正交

D、其和还是A的特征向量

4、【单选题】下列说法不妥的是（）

A、因为特征向量是非零向量，所以它所对应的特征值非零

B、属于一个特征值的向量可能只有一个，可能有多个

C、一个特征向量只能属于一个特征值

D、特征值为零的矩阵未必是零矩阵

5、【单选题】<img src="http://edu-image.nosdn.127.net/761AB892F678291EA5AF85051E45864E.png?imageView

A、<img src="http://edu-image.nosdn.127.net/EA8750D34D2B24571A47BD53B2143A96.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/11D67EDE89A90BBA9078A43D6BBB3F94.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/A5F05EE41046E86F2CC753AC80AA33B1.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/F032E2820DA1F05358461EB95DB58087.png?imageView&thumbnail=890x0&quality=100" />

6、【单选题】<img src="http://edu-image.nosdn.127.net/D6CEB7711E717F11B74AFC48404CC0EF.png?imageView

A、<img src="http://edu-image.nosdn.127.net/20948624DDFA1CFEC06AF38B685C0735.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/505404402A52B5ED92A33B80FFCE1B76.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/8B3000B0826904231A62250940B5B9C9.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/4E781A77F81E6B055ED89D60635F5869.png?imageView&thumbnail=890x0&quality=100" />

7、【单选题】<img src="http://edu-image.nosdn.127.net/7CA4C46838978F6F245E109A570D0EEB.png?imageView

A、<img src="http://edu-image.nosdn.127.net/539D9F1E001200F2B087F98084215A83.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/0400153B1329D268910E39DDEC7CAA34.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/206F1538688875065D3A0AD69DE1FFBD.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/213C8BDA6036BD80347DF3F597D706ED.png?imageView&thumbnail=890x0&quality=100" />

8、【单选题】<img src="http://edu-image.nosdn.127.net/5DA26D9E3CDD821AFB299D0FCA522905.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/AA2E6F6D5BAE6891D21E197326C2B279.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/08C4739347734BB9A3D33E5913CCEBA2.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/D5F4ADA820E71BEF2C55BE337A51679F.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/678985AE3AFF6742BE5FB5E1A3E30296.png?imageView&thumbnail=890x0&quality=100" />

9、【单选题】<img src="http://edu-image.nosdn.127.net/D7BD0DEFAFAFA50F0779B7C9EB54AF8F.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/8DF49D4398C8E044C6D100CCEBB8428D.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/A58BAF8D7EB73E584A024F0C36F72A4A.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/9F32AD5611920FF0D972AA24A23E1B05.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/329F115962CE72FF272C552B470749EE.png?imageView&thumbnail=890x0&quality=100" />

10、【判断题】<img src="http://edu-image.nosdn.127.net/9B9820C32944EF3B602B88201285772A.png?imageView

A、正确

B、错误

11、【判断题】<img src="http://edu-image.nosdn.127.net/F3F071C5C1A52692ED50C403C6718454.png?imageView&thumbnail=890x0&quality=100" />

A、正确

B、错误

12、【填空题】<img src="http://edu-image.nosdn.127.net/2E06F3786537CA2CF371806AF74E328A.png?imageView&thumbnail=890x0&quality=100" />

A、

13、【填空题】<img src="http://edu-image.nosdn.127.net/79F3466B46EC78FEBD7E07D162215EBA.png?imageView&thumbnail=890x0&quality=100" />

A、

4.2.2 矩阵的特征值、特征向量的求法（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/C1B806B6C7A696141E6843B7F2FA9244.png?imageView

A、-1，1，1

B、0，1，1

C、-1，1，2

D、1，1，2

2、【单选题】<img src="http://edu-image.nosdn.127.net/624A8A8B710B5CABE92109FDD85205E6.png?imageView&thumbnail=890x0&quality=100" />

A、a

B、2a

C、2a+1

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fe5b998f-ec6a-4710-ac50-a26cab97f2df.png" />

3、【填空题】设3阶方阵A的特征值分别为-1，0，2，则行列式<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e65b6a81-8cbc-4543-a1c4-b174503db5e2.png" />=___________.

A、

4.3.1 矩阵的相似与对角化（测验）

1、【单选题】|A|=|B|是n阶矩阵A与B相似的（）

A、充要条件

B、充分而非必要条件

C、必要而非充分条件

D、既不充分也不必要条件

2、【单选题】n阶方阵A有n个不同的特征值是A与对角矩阵相似的（）

A、充要条件

B、充分而非必要条件

C、必要而非充分条件

D、既不充分也不必要条件

3、【单选题】<img src="http://edu-image.nosdn.127.net/F464CC8F2F1B8013D42A7723C290578C.png?imageView&thumbnail=890x0&quality=100" />

A、0，0

B、0，1

C、1，0

D、1，1

4、【单选题】设A、B为相似的n阶方阵,则( )。

A、存在非奇异阵P,使<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_944d9738-1889-4186-9924-b80aa419b555.png" />

B、存在对角矩阵D，使得A与B都相似于D

C、存在非奇异阵P,使<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_944d9738-1889-4186-9924-b80aa419b555.png" />

D、A与B有相同的特征值

5、【单选题】若n阶方阵A与某个对角矩阵相似，则（）

A、R(A)=n

B、A有n个不同的特征值

C、A有n个线性无关的特征向量

D、A必为对称矩阵

4.3.2 实对称矩阵的相似对角化（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/2CD523015B6CC14A7C208716D53DBB9F.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/2915238FA49FC258CED89CB0AFC757C2.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/35F03C882D0AAB14745137F5FE24F9FA.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/989E3C63D480E7211CD228F97F36C534.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/87147CA8A3E4447DDB9455345F539BDC.png?imageView&thumbnail=890x0&quality=100" />

2、【判断题】实对称矩阵的不同特征值对应的特征向量一定两两正交.

A、正确

B、错误

3、【判断题】实对称矩阵一定可以相似对角化.

A、正确

B、错误

4.4.1 二次型的概念及矩阵的合同（测验）

1、【单选题】<img src="http://edu-image.nosdn.127.net/71D9246BC2D865FE40FAB97B9515B27C.png?imageView&thumbnail=890x0&quality=100" />

A、<img src="http://edu-image.nosdn.127.net/F396FCD472F0247695A2730DDD86589E.png?imageView&thumbnail=890x0&quality=100" />

B、<img src="http://edu-image.nosdn.127.net/B01856009CC87C979065E585707D90BA.png?imageView&thumbnail=890x0&quality=100" />

C、<img src="http://edu-image.nosdn.127.net/3651FBB5268CD23A4916904CAA3C16F5.png?imageView&thumbnail=890x0&quality=100" />

D、<img src="http://edu-image.nosdn.127.net/BC8750078CC16292C0BF7B87C1E24DDF.png?imageView&thumbnail=890x0&quality=100" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/2A0272A87632253B4F1441DD42EB63A7.png?imageView&thumbnail=890x0&quality=100" />

A、A=B

B、|A|=|B|

C、A与B相似

D、A与B合同

3、【判断题】两个同阶方阵合同则一定相似.

A、正确

B、错误

4、【判断题】两个同阶方阵相似则一定合同.

A、正确

B、错误

5、【判断题】两个矩阵等价是这两个矩阵合同的必要条件.

A、正确

B、错误

4.4.2 化二次型为标准形（测验）

1、【判断题】任何一个实二次型都可以化为标准形.

A、正确

B、错误

2、【判断题】任何一个实二次型都可以化为规范形.

A、正确

B、错误

3、【判断题】实二次型的标准形是惟一的.

A、正确

B、错误

4、【判断题】实二次型化为标准形的过程中采用的相似变换矩阵是惟一的.

A、正确

B、错误

5、【判断题】实二次型化为规范形的过程中采用的相似变换矩阵一定是正交矩阵.

A、正确

B、错误

4.5 正定二次型（测验）

1、【单选题】n阶对称矩阵A正定的充分必要条件是（）。

A、|A|>0

B、存在矩阵C，使得<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_0dfcf16d-7653-4080-82bb-4b80cb3b7882.png" />

C、负惯性指数为零

D、各阶顺序主子式为正.

2、【单选题】设A为n阶方阵，则下列结论正确的是（）。

A、A必定与一个对角阵合同

B、若A的所有顺序主子式为正，则A正定

C、若A与正定矩阵B合同，则A正定

D、若A与一个对角阵相似，则A必定与该对角阵合同

3、【单选题】方阵A正定的充要条件是（）。

A、A的各阶顺序主子式为正

B、A的逆矩阵是正定矩阵

C、A的所有特征值都大于零

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d95a55c7-a6cd-467d-b180-db169b1c73c2.png" />是正定矩阵

4、【单选题】正定二次型f的矩阵为A，则下列哪一项必定成立（）

A、A的顺序主子式都非负

B、A的所有特征值都非负

C、A的所有顺序主子式都大于零

D、A的所有特征值互不相同

5、【判断题】实二次型的规范形必定惟一.

A、正确

B、错误

线性代数在线期末考试

1、【单选题】下列关于矩阵的运算中,一定成立的是　 (　　)

A、 AB =BA

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_a493491f-2a84-4996-baf0-4d33f3b49305.png" style="white-space: normal;" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_aa8c8304-c32f-4281-b6f5-2cc5226aa4ff.png" style="white-space: normal;" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_41186c29-b9f8-44a3-b912-3f06c014990f.png" style="white-space: normal;" />

2、【单选题】<img src="http://edu-image.nosdn.127.net/34529FFB2A9FB5AF05E3CD543BC47973.jpg?imageView width: 563px; height: 103px;" />

A、PA=B

B、PQA=B

C、QPA=B

D、PAQ=B

3、【单选题】方阵A的行列式|A| = 0，则齐次线性方程组Ax = 0 (　　)

A、只有零解

B、无解

C、有唯一解

D、有无穷多解

4、【单选题】<img src="http://edu-image.nosdn.127.net/C21775AE3A6BE0F0FBFA2E6C35050EA0.jpg?imageView width: 491px; height: 48px;" />

A、1

B、2

C、3

D、4

5、【单选题】矩阵A、B等价，则下列选项不一定成立的 (　　)

A、R(A)=R(B)

B、A的列向量组能由B的列向量组线性表示

C、|A| ≠ 0则|B| ≠ 0

D、R(A)< R(A，B)

6、【单选题】设l≠0是方阵A的特征值，则下面说法错误的是（）

A、 kA的特征值为kl

B、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_ca01cebb-c928-438b-b30f-b60d9c00c4a0.png" style="font-family: 宋体; font-size: 16px; white-space: normal;" />的特征值为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_12a164c4-bfc6-442d-b6b6-7b4912746f59.png" style="font-family: 宋体; font-size: 16px; white-space: normal;" />

C、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_bfa6f2ab-9b1b-4bbb-9bb4-17e2ea7a8ee3.png" style="font-family: 宋体; font-size: 16px; white-space: normal;" />的特征值为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_09cb63d8-5031-4168-a361-61c1a239f326.png" style="font-family: 宋体; font-size: 16px; white-space: normal;" />

D、<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_fa01de42-1287-407f-b90b-2191b87dcd9a.png" />的特征值为<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_c3f16f8e-d50d-49f8-8cfb-34987d5335d6.png" style="white-space: normal;" />

7、【单选题】<img src="http://edu-image.nosdn.127.net/80289391C51A853BB418B3EDDA38C694.jpg?imageView width: 593px; height: 118px;" />

A、-1

B、0

C、1

D、6

8、【单选题】设n阶方阵A、B、C满足关系ABC = E (E是单位矩阵), 则必有 ( )

A、ACB = E

B、BAC = E

C、BCA = E

D、CBA = E

9、【单选题】设A、B都是n阶方阵, 且|A| = -2, |B| = 1, 则|ATB-1| = ________.

A、2

B、-2

C、1

D、-1

10、【单选题】设A、B都是n阶非零矩阵，且AB=O，则A和B的秩（）

A、必有一个等于零.

B、一个小于n，一个等于n.

C、都等于n.

D、都小于n.

11、【单选题】若方程组Ax=b中, 方程的个数少于未知量的个数, 则有 ( )

A、Ax=b一定有无穷多组解.

B、Ax=b一定无解.

C、Ax=0必有非零解.

D、Ax=0只有零解.

12、【单选题】设A是m×n矩阵, m n, 其秩R (A) = m, 则 ( )

A、齐次线性方程组Ax=0只有零解.

B、非齐次线性方程组Ax=b一定无解.

C、齐次线性方程组Ax=0一定有非零解.

D、非齐次线性方程组Ax=b一定有无数解.

13、【单选题】设A为n阶矩阵, 秩(A) = n - 1, a 1、a 2是非齐次线性方程组Ax = b两个不同的解，则齐次线性方程组Ax = 0的通解是(k为任意常数) ( )

A、ka 1，k为一切实数

B、ka 2，k为一切实数

C、 k(a 1 + a 2)，k为一切实数

D、 k(a 1 - a 2)，k为一切实数

14、【单选题】<img src="http://edu-image.nosdn.127.net/9DAEB796D2EEF278417FCD9616C5EE48.jpg?imageView width: 454px; height: 27px;" />

A、<img src="http://edu-image.nosdn.127.net/78A1A3238F9F9F698A2B18FEE335D0A9.jpg?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 371px; height: 31px;" />

B、<img src="http://edu-image.nosdn.127.net/5C3160A45FA38397F952C16F23E5A21D.jpg?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 390px; height: 22px;" />

C、<img src="http://edu-image.nosdn.127.net/4198B359AAFEF0DBA0C07D896C76E5C5.jpg?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 391px; height: 25px;" />

D、<img src="http://edu-image.nosdn.127.net/740DC07C17C5D76BEB725BDD2334A642.jpg?imageView&thumbnail=890x0&quality=100" style="white-space: normal; width: 391px; height: 24px;" />

15、【单选题】设向量组a1、a2、…、a s线性相关, 则必可推出 (　　　)

A、a1、a2、…、a s中至少有一个向量为零向量;

B、a1、a2、…、a s中至少有两个向量成比例;

C、a1、a2、…、a s中至少有一个向量可以表示为其余向量的线性组合;

D、a1、a2、…、a s中每一个向量都可以表示为其余向量的线性组合.

16、【单选题】设A为m×n矩阵, 则齐次线性方程组Ax = 0仅有零解的充分必要条件是 (　　　)

A、A的列向量组线性无关;

B、A的列向量组线性相关;

C、A的行向量组线性无关;

D、A的行向量组线性相关;

17、【单选题】在求解矩阵方程AX=B时，下列哪种方法正确？（假设A为n阶可逆矩阵）

A、先计算A的逆矩阵，再利用<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_2b4b75ac-502a-49bf-85c0-27371c4ebdce.png" style="white-space: normal;" />计算。

B、先计算A的逆矩阵，再利用<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3595ee89-27af-49ce-b390-7582734ccecd.png" style="white-space: normal;" />计算。

C、利用<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_190445e6-39ef-4c46-aa4c-6b8366d502a8.png" />计算。

D、利用<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8f32a6c1-06b1-4f6a-9494-5efb32fc2bef.png" />计算。

18、【多选题】在计算行列式时有多种方法，需要我们根据行列式的不同特征或规律采用相应的方法。对于下列四阶行列式，一般有哪些步骤、方法？<img src="http://edu-image.nosdn.127.net/1A5D31E7179FF09019C0E95D967B834B.png?imageView width: 418px; height: 122px;" />

A、由于每一行相同元素很多，所以可以先将第1行分别乘以-1加到其余各行以消去相同元素。

B、由于每一行元素的和都相同，所以可以先将第2、3、4列元素分别加到第1列，再提取此时第1列的公因子。

C、可以直接使用对角线法则。

D、可以利用行列式性质将某一行或某列三个元素化为零，再结合行列式的展开定理计算。

19、【多选题】下列选项中可以说明n阶方阵A是可逆矩阵的有哪些？

A、A的行列式不等于零；

B、A与单位矩阵等价；

C、A的列向量组线性相关；

D、A的行向量组线性无关；

E、A的特征值都不等于零；

F、A的秩为其阶数n;

G、A 是正交矩阵.

20、【判断题】若方阵A可逆，则非齐次线性方程组Ax=b必定有惟一解.

A、正确

B、错误

21、【判断题】若矩阵A的列向量线性无关，则齐次方程组Ax=0仅有零解.

A、正确

B、错误

22、【判断题】若矩阵A的列向量线性无关，则非齐次方程组Ax=b只有惟一解.

A、正确

B、错误

23、【判断题】若AB=AC，且<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_3fc16a32-6093-4fb0-ade9-550801e597bb.png" />，则B=C.

A、正确

B、错误

24、【判断题】若行列式的值为零，则行列式中必有两行(或两列)成比例或相等.

A、正确

B、错误

25、【判断题】同一个方阵不同的特征值对应的特征向量一定线性无关.

A、正确

B、错误

26、【判断题】不同方阵的特征值一定不同。

A、正确

B、错误

27、【判断题】方阵A的同一个特征值<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_39e03e31-d8c0-4d88-a59f-cf6648820bd1.png" />对应的特征向量一定线性相关。

A、正确

B、错误

28、【判断题】<img src="http://edu-image.nosdn.127.net/7FD8A154BD5FAAA99EAD082D5FBE67FF.png?imageView height: 70px;" />——在利用<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_e2020a82-8632-445f-94d3-f897ad79a4c1.png" />计算出特征值<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9ea0ec9f-cbca-4e01-9275-bc2e82d64493.png" />后，需要再通过计算齐次线性方程组<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_8cd55f95-4b37-4911-b1d5-cd9b3a262f36.png" />的全部非零向量，才能得到对应于特征值<img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_9ea0ec9f-cbca-4e01-9275-bc2e82d64493.png" />的全部特征向量。

A、正确

B、错误

29、【判断题】讨论系数矩阵为方阵且带参数的非齐次线性方程组的解的情况时（如下题），一般的方法有两种：一种是利用系数行列式为零得到惟一解时的参数取值情形，然后再计算；另一种是将增广矩阵利用初等行变换化为行阶梯形矩阵，然后通过解的判定定理进行判断。<img src="http://edu-image.nosdn.127.net/621F8F9A9A0826535E30802905237D54.png?imageView height: 111px;" />

A、正确

B、错误

30、【判断题】在求解矩阵方程AX=B（假设A为n阶可逆矩阵）时，还可以采用初等行变换的方法计算。例如先构造大矩阵（A,B），再用初等行变换将其中的A化为单位矩阵，这样B相应化成的矩阵就是所求的解X。

A、正确

B、错误

31、【判断题】矩阵运算跟代数数运算一样，都有加、减、乘、除四则运算。

A、正确

B、错误

32、【填空题】<img src="http://edu-image.nosdn.127.net/4B8776CFAD6F9D28B0BFBFB076720D75.jpg?imageView width: 500px; height: 67px;" />

A、

33、【填空题】<img src="http://edu-image.nosdn.127.net/7D1467DE86D89B1813366B6F13902036.jpg?imageView width: 368px; height: 82px;" />

A、