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.
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
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section: Chapter Questions
Problem 17RQ
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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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