5.2.6 When the matrix of the linear transformation f: R³ → R² with respect to the basis a, ß is 1 [f] Bo,ao = G₁ 1₁) find the matrix [f] off with respect to the basis α, ßo -1 --000) -- (-9)0)} ~-00€) --00 a= = = = (9)}

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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5.2.6
When the matrix of the linear transformation
f: R³ → R² with respect to the basis a, ß is
1
[f] Bo,αo
βο,αο
(₁
1₁) find the matrix [f] of f with respect to the basis αo, ßo
1
-1
-1
a =
-
000 - (-1)0) ~-00()}, -- CO
1
B = (d)}
=
{(6)-(9)}
9
Transcribed Image Text:5.2.6 When the matrix of the linear transformation f: R³ → R² with respect to the basis a, ß is 1 [f] Bo,αo βο,αο (₁ 1₁) find the matrix [f] of f with respect to the basis αo, ßo 1 -1 -1 a = - 000 - (-1)0) ~-00()}, -- CO 1 B = (d)} = {(6)-(9)} 9
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