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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)
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
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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