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# Let E be a fixed elementary matrix. Does the formula define a one-to-one linear operator

ISBN: 9780470432051 396

## Solution for problem 16 Chapter 8.2

Elementary Linear Algebra: Applications Version | 10th Edition

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Elementary Linear Algebra: Applications Version | 10th Edition

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Problem 16

Let E be a fixed elementary matrix. Does the formula define a one-to-one linear operator on ? Explain your reasoning.

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Step 1 of 3

7/26/2017 OneNote Online 3.12 Sunday, October 12, 2014 8:24 PM https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 1/5 7/26/2017 OneNote Online https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 2/5 7/26/2017 OneNote Online https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 3/5 7/26/2017 OneNote Online https://onedrive.live.com/view.aspxref=button&Bsrc=SMIT&resid=36773184373A8F0B!2562&cid=36773184373a8f0b&app=OneNote&authkey=Avz_e_hLmB4xJLw 4/5 7/26/2017

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Let E be a fixed elementary matrix. Does the formula define a one-to-one linear operator