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The function f : R³ → R' is linear and f(1,0, 0)) f(0, 1,0)) f(0,0, 1)) -1 5. (a) Find the matrix A. (b) Find f(1,2,3)), ƒ((1,–1,2)), and f((1/5, 1/7, 1/9)) by matrix mul- tiplication.

The function f : R³ → R' is linear and f(1,0, 0)) f(0, 1,0)) f(0,0, 1)) -1 5. (a) Find the matrix A. (b) Find f(1,2,3)), ƒ((1,–1,2)), and f((1/5, 1/7, 1/9)) by matrix mul- tiplication.

Elementary Linear Algebra (MindTap Course List)
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 5CM: Find the kernel of the linear transformation T:R4R4, T(x1,x2,x3,x4)=(x1x2,x2x1,0,x3+x4).
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(a) Find the matrix A.
(b) Find f(1,2,3)), f((1,−1,2)), and f((1/5,1/7,1/9)) by matrix mul-
tiplication.
*picture attached*

The function f : R³ → R' is linear and f(1,0, 0)) f((0, 1,0)) f(0,0, 1)) -1 5. (a) Find the matrix A. (b) Find f(1,2,3)), ƒ((1,–1,2)), and f((1/5, 1/7, 1/9)) by matrix mul- tiplication.
Transcribed Image Text:The function f : R³ → R' is linear and f(1,0, 0)) f((0, 1,0)) f(0,0, 1)) -1 5. (a) Find the matrix A. (b) Find f(1,2,3)), ƒ((1,–1,2)), and f((1/5, 1/7, 1/9)) by matrix mul- tiplication.
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