The function f : R³ → R³ is linear and f(1,0,0)) f((0, 1,0)) f((0, 0, 1)) (2, 1,0) (0, –1,3) (2, 1, 5). (a) Find the matrix A. (b) Find f(1, –1, 1)), ƒ((3, 4, 5)), and f((e, , /2)) by matrix multiplica- tion.

Linear Algebra: A Modern Introduction
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ISBN:9781285463247
Author:David Poole
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Chapter3: Matrices
Section: Chapter Questions
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(a) Find the matrix A.
(b) Find f(1,−1,1)), f((3,4,5)), and f((e,π,√2)) by matrix multiplica-
tion.

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The functionf : R³ → R³ is linear and
f((1,0,0))
f((0, 1,0))
f((0,0, 1))
(2, 1,0)
(0, –1,3)
(2, 1, 5).
(a) Find the matrix A.
(b) Find f(1, –1, 1)), f((3,4,5)), and f((e, T, V2)) by matrix multiplica-
tion.
Transcribed Image Text:The functionf : R³ → R³ is linear and f((1,0,0)) f((0, 1,0)) f((0,0, 1)) (2, 1,0) (0, –1,3) (2, 1, 5). (a) Find the matrix A. (b) Find f(1, –1, 1)), f((3,4,5)), and f((e, T, V2)) by matrix multiplica- tion.
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