A = {{]-[~-3²2)} and A²={_-¹,1],[9]}. If B=[82] 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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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some expert answer this in more detail because i dont understand the first answer of someone. show the formula or theorem used

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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in number 1, B is the matrix representation of Z with respect to B only, not B and B'. The formula won't work for that, will it?

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