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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Similar questions

Let TA: 23 be the matrix transformation corresponding to A=[311124]. Find TA(u) and TA(v), where u=[12] v=[32].
1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .
To find the product matrix AB. the number of _______________ of A must be the same as the number of _________ of B.

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