Exercise 10.4.3 Suppose T: R³ R³ is a linear transformation such that →>> be another basis. 1 -8-8-8-8-8-8 T T (b) Find [TB,B 3 Let E= {e1,e2, e3} be the standard basis of R³, and let 3 B = {V1, V2, V3} - (a) Find the matrix of T with respect to E, i.e., find [T]E,E- T 0 {B-Q-A} = 3
Exercise 10.4.3 Suppose T: R³ R³ is a linear transformation such that →>> be another basis. 1 -8-8-8-8-8-8 T T (b) Find [TB,B 3 Let E= {e1,e2, e3} be the standard basis of R³, and let 3 B = {V1, V2, V3} - (a) Find the matrix of T with respect to E, i.e., find [T]E,E- T 0 {B-Q-A} = 3
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 4CM
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can you please solve (a ) and ( b ) for this question?
![I
Exercise 10.4.3 Suppose T: R3 R3 is a linear transformation such that
>
be another basis.
T
0
1
8-8-8-8-8-8
2
3
(b) Find [T] B.B.
1
3
3
3
Let E= {e1,e2,e3} be the standard basis of R3, and let
T
B = {V1, V2, V3}
=
1
{8-8-8}
0
0
(a) Find the matrix of T with respect to E, i.e., find [T]E.E.
T
2
1
3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98a85d3f-1221-4cd9-b5c2-c225eed9a46f%2Fad9be436-11fd-48c6-8002-2a29d50f7a4c%2Fgy86c3m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I
Exercise 10.4.3 Suppose T: R3 R3 is a linear transformation such that
>
be another basis.
T
0
1
8-8-8-8-8-8
2
3
(b) Find [T] B.B.
1
3
3
3
Let E= {e1,e2,e3} be the standard basis of R3, and let
T
B = {V1, V2, V3}
=
1
{8-8-8}
0
0
(a) Find the matrix of T with respect to E, i.e., find [T]E.E.
T
2
1
3
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