Answered: Find the matrix of the linear…

Find the matrix of the linear transformation T from R? R?, where T([1, 0]) = [1, -2], and T([2, 1]) = [2, 3] (Note: matrix A = [T([1, 0]), T([0, 1])] ). 1 (b) -2 3 2 1 (a) 1 (c) -2 7 1 -2 (d) 3

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

Find the matrix of the linear transformation T from
R? R?,
where T([1, 0]) = [1, -2],
and T([2, 1]) = [2, 3]
(Note: matrix A = [T([1,0]), T([0, 1])] ).
1
(a)
1
(b)
1.
(c)
-2
1
-2
3
-2
1
(d)
0.
3

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