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Consider an invertible linear transformation T(x) = Ax from Rm to R \ with inverse L =

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 48 Chapter 2.4

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 48

Consider an invertible linear transformation T(x) = Ax from Rm to R \ with inverse L = T~[ from R" to Rm. In Exercise 2.2.29 we show that L is a linear transformation, so that L(y) = By for some m x n matrix B. Use the equations BA = In and AB = Im to show thatn = m. (Hint: Think about the number of solutions^ the linear systems Ax 0 and By = 5.)

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Chapter 2.4, Problem 48 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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Consider an invertible linear transformation T(x) = Ax from Rm to R \ with inverse L =