Problem 4 Suppose R³ T →R3 is a linear transformation with ¹8-8-8-8-8-3 T = 0 T -1 and T 0 Find the matrix of T. (Hint: If S is the matrix you're supposed to find, write the initial data as SA= B for matrices A and B obtained by stacking together the input and out vectors respectively. Then you can recover S as S = BA ¹.)
Problem 4 Suppose R³ T →R3 is a linear transformation with ¹8-8-8-8-8-3 T = 0 T -1 and T 0 Find the matrix of T. (Hint: If S is the matrix you're supposed to find, write the initial data as SA= B for matrices A and B obtained by stacking together the input and out vectors respectively. Then you can recover S as S = BA ¹.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.6: Introduction To Linear Transformations
Problem 1EQ: 1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .
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