PLEASE PLEASE HELP ME WITH ALL Find the matrix A' for T relative to the basis B'.A' =XT: R² R², T(x, y) = (x + y, 3y), B' = {(-4, 1), (1, -1)}1/-1 Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.1A'=1A = 2N|UN|HN|G2|N|NM|N123-22B' = {(1, 1, 1), (1, −1, 1), (−1, 1, 1)}010-2

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Find the matrix A' for T relative to the basis B'. A' = T: R² R², T(x, y) = (x + y, 3y), B' = {(-4, 1), (1, -1)} 1/-1

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...

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Question

PLEASE PLEASE HELP ME WITH ALL

Find the matrix A' for T relative to the basis B'.
A' =
X
T: R² R², T(x, y) = (x + y, 3y), B' = {(-4, 1), (1, -1)}
1/-1

Suppose A is the matrix for T: R³ R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.
1
A'=
1
A = 2
N|UN|HN|G
2
|N|NM|N
1
2
3
-2
2
B' = {(1, 1, 1), (1, −1, 1), (−1, 1, 1)}
0
10
-2

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