Find the matrix A of the linear transformation -1 = 6 148 1 M from U²×² to U²×2 (upper triangular matrices) with respect to the standard basis for ₹²×² given by {6 16 16 1} T(M) :

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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Find the matrix A of the linear transformation
from U²×² to U²×2 (upper triangular matrices) with respect to the standard basis for U²×² given by
{[][16]}
A
=
7/2
0
1/2
0
-7/2
[2
T(M) = ²7 M² 11
1
1
Transcribed Image Text:Find the matrix A of the linear transformation from U²×² to U²×2 (upper triangular matrices) with respect to the standard basis for U²×² given by {[][16]} A = 7/2 0 1/2 0 -7/2 [2 T(M) = ²7 M² 11 1 1
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