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Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 2.4 - Problem 48
Get Full Access to Linear Algebra With Applications - 4 Edition - Chapter 2.4 - Problem 48

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# Consider an invertible linear transformation T(x) = Ax from Rm to R \ with inverse L = ISBN: 9780136009269 434

## Solution for problem 48 Chapter 2.4

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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##### ISBN: 9780136009269

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