a. Suppose T is a linear transformation such that 1 T 2 = |1,T 3 -6 3 -2 Find A such that T(x) = Ax.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 54EQ
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a. Suppose T is a linear transformation such that
5
1
T
-1
1
T
-1
3
2
Find A such that T(x)
= Ax.
b. Let T be a linear transformation induced by the matrix A =
and S a linear transfor-
mation induced by B =
3
Find matrix of SoT and find (S o T)(x) for x =
Transcribed Image Text:a. Suppose T is a linear transformation such that 5 1 T -1 1 T -1 3 2 Find A such that T(x) = Ax. b. Let T be a linear transformation induced by the matrix A = and S a linear transfor- mation induced by B = 3 Find matrix of SoT and find (S o T)(x) for x =
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