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) :
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
Problem 63EQ
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ca63060-5e10-4976-9545-33c78f356354%2Fc092f0df-0170-458a-b3d5-986b4f81c19b%2Figte6rp_processed.png&w=3840&q=75)
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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