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 T2 : 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 If the composition does not exist, enter: na (T2 o T1)(A) =

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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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 T2 : R2×2 → R2x2 be the transformation given by T2 (A) = A".
%3D
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:Jump to level 1 r 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 T2 : R2×2 → R2x2 be the transformation given by T2 (A) = A". %3D 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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