If and B' are bases of a vector space y and -1 P = is the matrix of transition from the base B to the B -3 5 basis B' then the matrix of transition from the basis B' to the basis B is: A. (5 -2 3 - 1 O B. (-1 - 3 5 O C.(1 -3 2 -5 -1 2 -35

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.5: Basis And Dimension
Problem 81E: Proof Prove that if S={v1,v2,,vn} is a basis for a vector space V and c is a nonzero scalar, then...
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questiol
R QuestiOn
Question 10
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-1 2
If
and
B
R. are bases of a vector space y and p=
is the matrix of transition from the base B to the
-3 5
basis B' then the matrix of transition from the basis B to the basis B İs:
O A. (5 -2
3 -1
В.
- 1
-3
5
C.(1 -3
2 -5
D.(-1 2
-3 5
Transcribed Image Text:questiol R QuestiOn Question 10 Save Answer -1 2 If and B R. are bases of a vector space y and p= is the matrix of transition from the base B to the -3 5 basis B' then the matrix of transition from the basis B to the basis B İs: O A. (5 -2 3 -1 В. - 1 -3 5 C.(1 -3 2 -5 D.(-1 2 -3 5
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Question 13
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Let the linear map f:R3→ R² be defined by f(x.v.z)= (x-y-z, 2r+ 2). Then the matrix associated with the
linear map f relative to the bases of
B={a=(1,1,2), b=(2,1,0), c= (1,0,1)}
of
R3
and
B'={d=(1,1), e=(1,0)}
of p2 is:
А.
-210
4
4 3
В.
1 -1 -1
2 0
C.(2 0
1 -1 -1
O D.
4
4
3
-6 -1 -3
Transcribed Image Text:> A Moving to another question will save this response. « < Question 13 of 46 > Question 13 Save Answer Let the linear map f:R3→ R² be defined by f(x.v.z)= (x-y-z, 2r+ 2). Then the matrix associated with the linear map f relative to the bases of B={a=(1,1,2), b=(2,1,0), c= (1,0,1)} of R3 and B'={d=(1,1), e=(1,0)} of p2 is: А. -210 4 4 3 В. 1 -1 -1 2 0 C.(2 0 1 -1 -1 O D. 4 4 3 -6 -1 -3
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