Exercise 10.4.4 Let T: R² R² be a linear transformation defined by →>> ¹([%])=[a+b] Consider the two bases ={[][]} B2 2-{}}-{[ - ] }· = Find the matrix MB2,B₁ of T with respect to the bases B₁ and B₂. and B₁

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
b]
Consider the two bases
and
T
а
b
B₁ =
a+b
a-b
= {[] []}
B2
={{}}{-4}}
1
Find the matrix MB2,B₁ of T with respect to the bases B₁ and B₂.
Transcribed Image Text:Exercise 10.4.4 Let T: R2 R2 be a linear transformation defined by b] Consider the two bases and T а b B₁ = a+b a-b = {[] []} B2 ={{}}{-4}} 1 Find the matrix MB2,B₁ of T with respect to the bases B₁ and B₂.
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