Exercise 10.4.4 Let T: R² R² be a linear transformation defined by T ([%])=[a+b]. Consider the two bases ={[8][-]} = {[}][-4}}· Find the matrix MB₂,B₁ of T with respect to the bases B₁ and B₂. and B1 B2

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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Exercise 10.4.4 Let T : R² → R² be a linear transformation defined by
a
T ( [%]) =[a+b].
Consider the two bases
={[!][+]}
D={B][-]}
Find the matrix MB₂,B₁ of T with respect to the bases B₁ and B2.
and
B₁
B2
Transcribed Image Text:Exercise 10.4.4 Let T : R² → R² be a linear transformation defined by a T ( [%]) =[a+b]. Consider the two bases ={[!][+]} D={B][-]} Find the matrix MB₂,B₁ of T with respect to the bases B₁ and B2. and B₁ B2
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