2020 线性代数（英）(山东工商学院) 最新满分章节测试答案

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本课程起止时间为:2020-02-24到2020-07-20
本篇答案更新状态:已完结

【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: