西交《线性代数》在线作业

adminhan

&nbsp;<img width="568" height="155" alt="" src="http://file.open.com.cn/ItemDB/2015513212936553.jpg" />
A:A
B:B
C:C
D:D

&nbsp;<img width="569" height="123" alt="" src="http://file.open.com.cn/ItemDB/126539/6c83e01a-b834-453e-847c-70253584babc/2015513213026693.jpg" />
A:A
B:B
C:C
D:D

如果矩阵A满足A^2=A,则( )
A:A=0
B:A=E
C:A=0或A=E
D:A不可逆或A-E不可逆

&nbsp;<img width="631" height="91" alt="" src="http://file.open.com.cn/ItemDB/201621134148936.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="587" height="175" alt="" src="http://file.open.com.cn/ItemDB/126539/5cc885e7-3fc9-4469-aa50-51089bb7f6ea/201621134132592.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="578" height="98" alt="" src="http://file.open.com.cn/ItemDB/126539/2ef36c94-1ef1-4f58-844d-dd052c1f2fc0/201551321319750.jpg" />
A:A
B:B
C:C
D:D

&nbsp;<img width="625" height="104" alt="" src="http://file.open.com.cn/ItemDB/126539/22ba730e-56e2-4323-8778-d2f0bdfd4dfa/20162113434234.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="612" height="95" alt="" src="http://file.open.com.cn/ItemDB/126539/4b43e669-d077-4ac8-93c5-30cc9e22fd53/201621134617709.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="569" height="113" alt="" src="http://file.open.com.cn/ItemDB/126539/cd5591e1-fce5-476d-878e-ef71d81e1d0b/2015513213050811.jpg" />
A:A
B:B
C:C
D:D

设某3阶行列式︱A︱的第二行元素分别为-1,2,3,对应的余子式分别为-3,-2,1,则此行列式︱A︱的值为( ).
A:3
B:15
C:-10
D:8

设A为m*n矩阵,则有( &nbsp; &nbsp; &nbsp;)。
A:若m&lt;n，则有Ax=b无穷多解
B:若m&lt;n，则有Ax=0非零解，且基础解系含有n-m个线性无关解向量
C:若A有n阶子式不为零，则Ax=b有唯一解
D:若A有n阶子式不为零，则Ax=0仅有零解。

&nbsp;<img width="536" height="114" alt="" src="http://file.open.com.cn/ItemDB/126539/1075b5b9-0f5b-4c18-90a8-e3b47a013d33/2015513212523636.jpg" />
A:A
B:B
C:C
D:D

&nbsp;<img width="627" height="110" alt="" src="http://file.open.com.cn/ItemDB/126539/22ba730e-56e2-4323-8778-d2f0bdfd4dfa/2016211350520.png" />
A:A
B:B
C:C
D:D

设向量组a1,a2,a3线性无关,则下列向量组中线性无关的是(     )。
A:a1-a2,a2-a3,a3-a1
B:a1,a2,a3+a1
C:a1,a2,2a1-3a2
D:a2,a3,2a2+a3

&nbsp;<img width="470" height="108" alt="" src="http://file.open.com.cn/ItemDB/126539/4b43e669-d077-4ac8-93c5-30cc9e22fd53/20162113493491.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="548" height="114" alt="" src="http://file.open.com.cn/ItemDB/126539/d389e9c0-41d8-48c0-b94e-3bacaf7401d0/201551321313440.jpg" />
A:A
B:B
C:C
D:D

设A为三阶方阵,且|A|=2,A*是其伴随矩阵,则|2A*|=是(   ).
A:31
B:32
C:33
D:34

&nbsp;<img width="664" height="113" alt="" src="http://file.open.com.cn/ItemDB/201621133851132.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="535" height="101" alt="" src="http://file.open.com.cn/ItemDB/201621133826822.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="705" height="151" alt="" src="http://file.open.com.cn/ItemDB/126539/4b43e669-d077-4ac8-93c5-30cc9e22fd53/201621134842525.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="492" height="75" alt="" src="http://file.open.com.cn/ItemDB/2015513213314581.jpg" />
A:A
B:B
C:C
D:D

n阶矩阵A相似于对角矩阵的充分必要条件是(   )
A:A有n个互不相同的特征向量.
B:A有n个线性无关的特征向量.
C:A有n个两两正交的特征向量.
D:A有n个互不相同的特征值.

&nbsp;<img width="462" height="187" alt="" src="http://file.open.com.cn/ItemDB/126539/32d39199-4fe8-4c79-ad7e-6bb5d7bbe2ee/201621133923401.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="565" height="79" alt="" src="http://file.open.com.cn/ItemDB/201551321254433.jpg" />
A:A
B:B
C:C
D:D

&nbsp; <img width="487" height="182" alt="" src="http://file.open.com.cn/ItemDB/126539/22ba730e-56e2-4323-8778-d2f0bdfd4dfa/201621135019270.png" />
A:A
B:B
C:C
D:D

线性方程组Ax=o只有零解的充分必要条件是(   )
A:A的行向量组线性无关
B:A的行向量组线性相关
C:A的列向量组线性无关
D:A的列向量组线性相关

&nbsp;<img width="699" height="102" alt="" src="http://file.open.com.cn/ItemDB/126539/0a94f7cb-2be3-4c40-b7e6-4199281b5cf3/20162113397929.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="575" height="110" alt="" src="http://file.open.com.cn/ItemDB/126539/43bb4b95-c65f-4421-9148-caedd5ff5809/201551321300266.jpg" />
A:A
B:B
C:C
D:D

&nbsp; <img width="718" height="117" alt="" src="http://file.open.com.cn/ItemDB/126539/22ba730e-56e2-4323-8778-d2f0bdfd4dfa/201621134937648.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="517" height="151" alt="" src="http://file.open.com.cn/ItemDB/2015513212843172.jpg" />
A:A
B:B
C:C
D:D

&nbsp; <img alt="" width="587" height="105" src="http://file.open.com.cn/ItemDB/20162113442940.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="392" height="111" alt="" src="http://file.open.com.cn/ItemDB/126539/b682c4a1-615f-42bc-a4e7-a950dc17a050/2015513213348823.jpg" />
A:A
B:B
C:C
D:D

&nbsp;<img width="619" height="70" alt="" src="http://file.open.com.cn/ItemDB/126539/4b43e669-d077-4ac8-93c5-30cc9e22fd53/201621134810778.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="530" height="61" alt="" src="http://file.open.com.cn/ItemDB/126539/458597bd-6832-4012-aa09-fe830f6aebe4/2015513212444777.jpg" />
A:A
B:B
C:C
D:D

&nbsp;<img width="565" height="109" alt="" src="http://file.open.com.cn/ItemDB/126539/013d3060-915a-4f62-9b8a-f160d0fbaad9/201621134510157.png" />
A:A
B:B
C:C
D:D

&nbsp;<img width="291" height="91" alt="" src="http://file.open.com.cn/ItemDB/126539/557898fe-2a80-47e3-8903-25e6d8d203f8/201621135417134.png" />
A:错误
B:正确

&nbsp;<img width="664" height="76" alt="" src="http://file.open.com.cn/ItemDB/126539/ab9725a5-9fea-4607-adf2-49dfe18d1161/201621135449299.png" />
A:错误
B:正确

&nbsp;<img width="549" height="45" alt="" src="http://file.open.com.cn/ItemDB/126539/6037ff01-f406-4228-bf57-fba788fe2601/20162113560544.png" />
A:错误
B:正确

&nbsp;<img width="479" height="45" alt="" src="http://file.open.com.cn/ItemDB/126539/2c527157-21bc-403e-a560-46b571c33587/201551321381477.jpg" />
A:错误
B:正确

&nbsp;<img width="655" height="45" alt="" src="http://file.open.com.cn/ItemDB/126539/557898fe-2a80-47e3-8903-25e6d8d203f8/201621135316198.png" />
A:错误
B:正确

&nbsp;<img width="419" height="27" alt="" src="http://file.open.com.cn/ItemDB/126539/d95e2dc2-0c11-45c6-8d93-a1c893113213/2015513213850180.jpg" />
A:错误
B:正确

&nbsp;<img width="320" height="29" alt="" src="http://file.open.com.cn/ItemDB/126539/ab2ef96f-ef0a-4a4e-9871-a9867c029208/201551321355063.jpg" />
A:错误
B:正确

&nbsp;<img width="503" height="29" alt="" src="http://file.open.com.cn/ItemDB/126539/c3e3f66b-71c3-4496-8265-d8534c355c31/201551321397210.jpg" />
A:错误
B:正确

&nbsp;<img width="632" height="41" alt="" src="http://file.open.com.cn/ItemDB/126539/39fb6ab4-8508-4809-baaa-5a63d0c85160/201621135356789.png" />
A:错误
B:正确

&nbsp;<img width="237" height="30" alt="" src="http://file.open.com.cn/ItemDB/126539/c7ae5604-9eb4-4ba8-9475-ab18f7eca481/2015513213652291.jpg" />
A:错误
B:正确

&nbsp;<img width="281" height="31" alt="" src="http://file.open.com.cn/ItemDB/126539/157d404b-22d6-47c2-94c6-468a56c2423c/2015513213633975.jpg" />
A:错误
B:正确

&nbsp;<img width="564" height="81" alt="" src="http://file.open.com.cn/ItemDB/126539/eebf0368-0b23-4590-8a31-e55be600b284/201621135632516.png" />
A:错误
B:正确

&nbsp;<img width="441" height="33" alt="" src="http://file.open.com.cn/ItemDB/126539/8f980c92-c5bf-492c-9c77-25cda9fabf6d/2015513213921437.jpg" />
A:错误
B:正确

&nbsp;<img width="594" height="42" alt="" src="http://file.open.com.cn/ItemDB/126539/ab9725a5-9fea-4607-adf2-49dfe18d1161/20162113570733.png" />
A:错误
B:正确

&nbsp;<img width="584" height="69" alt="" src="http://file.open.com.cn/ItemDB/126539/d71704f7-bb6c-4873-a3e5-4a8db63d9c25/2015513213939159.jpg" />
A:错误
B:正确