线性代数(沈阳航空航天大学) 中国大学慕课答案2024完整版100分

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起止时间:2020-03-01到2020-11-01
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Chapter 1 Systems of Linear Equations unit test 1

1、

A:
B:
C:
D:
答案:

2、

                 In the following matrices, ( ) is not elementary matrix.

A:
B:
C:
D:
答案:

3、

A:

                the elementary row operation of interchanging

the first and second rows.

B:


                the elementary row operation of interchanging

the second and third rows.

C:


                the elementary column operation of interchanging the first and second columns.



D:


                the elementary column operation of interchanging the second and third columns.

答案:

                the elementary row operation of interchanging

the second and third rows.

    </span>

4、

                If <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_99f13d3f-ff14-479b-8fe7-a1e9ab6b71b4.png"  /> is nonsingular, then <img src="http://edu-image.nosdn.127.net/_PhotoUploadUtils_99f13d3f-ff14-479b-8fe7-a1e9ab6b71b4.png"  style="font-family: LMRoman17-Regular-Identity-H; font-size: 22.6667px; white-space: normal;"  /> can be factored into a

product of elementary matrices.

A:正确
B:错误
答案: 正确

5、

                If A is a 3×3 matrix and a1 +2a2 −a3 = 0, then A must be singular.

A:正确
B:错误
答案: 正确

6、

                If A and B are n×n matrices, then (A-B)2 = A2 −2AB+B2.

A:正确
B:错误
答案: 正确

7、

                Use back substitution to solve the following systems

of equations:

答案: x1 = 4
x2 = 1
x3 = 3

8、

                <img src="http://edu-image.nosdn.127.net/4638CED1EB2BD4AFE3F7099CDDA3BCF6.jpg?imageView&thumbnail=890x0&quality=100"    />

答案: – 2/3

9、
答案: 5 -10 15
5 -1 4
8 -9 6

10、
答案: 1 2 -3
-1 1 -1
0 -2 3

Chapter 2 Determinants unit test 2

1、

A:1
B:6
C:-6
D:0
答案: -6

2、

                Let A be a n×n matrix, then (  )

A:

                AAT =ATA.
B:


                det(AAT ) = det(AT A).
C:


                if det(A) = 0, then A is invertible.
D:


                if det(A) = 0, then AT is invertible.

答案:

                det(AAT ) = det(AT A).</span>

3、

A:
B:
C:
D:
答案:

4、

                det(A+B)=det(A)+det(B).