v = (2，−3)T and w = (3，2)T . 答案: 【90◦】
【作业】Chapter 1 Systems of Linear Equations Test for chapter 1
1、 问题:See PDF file for details.
评分规则: 【 See PDF file for details.
】
【作业】Chapter 2 Determinants Test for chapter 2
1、 问题:See PDF file for details.
评分规则: 【 See PDF file for details.
】
【作业】Chapter 3 Vector Space Test for chapter 3
1、 问题:See PDF file for details.
评分规则: 【 See PDF file for details.
】
【作业】Chapter 4 Linear Transformations Test for chapter 4
1、 问题:See PDF file for details.
评分规则: 【 See PDF file for details.
】
【作业】Chapter 5 Test for chapter 5
1、 问题:See PDF file for details.
评分规则: 【 See PDF file for details.
】
Chapter 5 unit test 5
1、 问题: 
选项：
A:
B:
C:
D:
答案: 【
】
2、 问题:
选项：
A:
B:
C:
D:
答案: 【】
3、 问题:
选项：
A:
B:
C:
D:
答案: 【】
4、 问题:
If x and y are nonzero vectors in Rn， then the vector
projection of x onto y is equal to the vector projection
of y onto x.
选项：
A:正确
B:错误
答案: 【错误】
5、 问题:
If U， V ， and W are subspaces of R3 and if U ⊥ V and V⊥W， then U⊥W.
选项：
A:正确
B:错误
答案: 【错误】
6、 问题:
If A is an m×n matrix， then AAT and ATA have the
same rank.
选项：
A:正确
B:错误
答案: 【正确】
7、 问题:
Find the angle between the vectors v = (2，−3)T and w = (3，2)T .
答案: 【90◦】
8、 问题:
Find the point on the line y = 2x+1 that is closest to the point (5， 2).
答案: 【(1.8， 3.6)】
9、 问题:
答案: 【(19/7 −26/7)】
Chapter 6 unit test 6
1、 问题:
Let A and B be two n×n orthogonal matrices， choose
the incorrect one ( ) .
选项：
A:
A + B is a orthogonal matrix.
B:
AB is a orthogonal matrix.
C:
A−1 is a orthogonal matrix.
D:
B−1 is a orthogonal matrix.
答案: 【
A + B is a orthogonal matrix.</span>】
2、 问题:
Let A and B be two n × n matrices， they have the
same eigenvalues and n linear independent eigenvalues， then ( )
选项：
A:
A is similar to B.
B:
A <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_d31236d4-13a4-4d95-a615-2c9c77539d62.png" />B， but |A − B| = 0.
C:
A = B.
D:
A is not necessarily similar to B， but det(A)=
det(B).
答案: 【
A is similar to B.</span>】
3、 问题:
Choose a false statement ( ).
选项：
A:
The rank of an m×n matrix A is equal to the number of nonzero singular values of A， where singular values are counted according to multiplicity.
B:
If A is an n×n matrix， then A and AT have the
same eigenvectors.
C:
If A is symmetric， then eA is symmetric positive
definite.
D:
点击这里，查看后续答案①
点击这里，查看后续答案②（阿布查查更好用）
8、 问题: Find the point on the line y = 2x