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.

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter2: Matrices
Section2.1: Operations With Matrices
Problem 72E: Show that no 22 matrices A and B exist that satisfy the matrix equation. AB-BA=1001.
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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.

*picture attached*

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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