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
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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Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98a85d3f-1221-4cd9-b5c2-c225eed9a46f%2F058e603f-1a33-403b-9552-6b8df8c85584%2Fv02j09_processed.jpeg&w=3840&q=75)
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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