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A = {]-[²]} and A'= "={[_¹₁]-[i]}. If B=[32] is the matrix representation of linear operator Z: R² → R² with respect to A, 1. Look for Z(-5,5). 2. Look for the transition matrix P from A' to A. 3. Look for the matrix representation of Z with respect to A' using the matrix P.

A = {]-[²]} and A'= "={[_¹₁]-[i]}. If B=[32] is the matrix representation of linear operator Z: R² → R² with respect to A, 1. Look for Z(-5,5). 2. Look for the transition matrix P from A' to A. 3. Look for the matrix representation of Z with respect to A' using the matrix P.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...
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A = {[1] [3²]} and A² = {[¹].[9]}. If B=[ 31 is the matrix representation of linear operator Z: R² → R² with respect to A, 1. Look for Z(-5,5). 2. Look for the transition matrix P from A' to A. 3. Look for the matrix representation of Z with respect to A' using the matrix P.
Transcribed Image Text:A = {[1] [3²]} and A² = {[¹].[9]}. If B=[ 31 is the matrix representation of linear operator Z: R² → R² with respect to A, 1. Look for Z(-5,5). 2. Look for the transition matrix P from A' to A. 3. Look for the matrix representation of Z with respect to A' using the matrix P.
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