9. Let A = d Let T : R2x2 → R be the transformation given by T (A) = tr(A), where tr(A) is the trace of matrix A. Let T, : R2x2 → R2x2 be the transformation given by T2 (A) = A". Find the expression for each composition if the composition exists. (T1 o T2)(A) = Ex: abc or na (T2 o T1)(A) = If the composition does not exist, enter: na

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 12CM
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Let A =
Let T1 : R2x2 → R be the transformation given by T1 (A) = tr(A), where tr(A) is
the trace of matrix A.
Let T, : R2x2 → R2x2 be the transformation given by T2 (A) = A".
Find the expression for each composition if the composition exists.
(T; o T2)(A)
(T2 o T1)(A) =
= Ex: abc or na
If the composition does not exist, enter: na
Transcribed Image Text:Let A = Let T1 : R2x2 → R be the transformation given by T1 (A) = tr(A), where tr(A) is the trace of matrix A. Let T, : R2x2 → R2x2 be the transformation given by T2 (A) = A". Find the expression for each composition if the composition exists. (T; o T2)(A) (T2 o T1)(A) = = Ex: abc or na If the composition does not exist, enter: na
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