The three types of elementary matrices give rise to five types of 2 Ã 2 matrices with

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The three types of elementary matrices give rise to five types of 2 Ã— 2 matrices with one of the following forms:

Each of these elementary matrices corresponds to a linear transformation from R2 to R2. Draw pictures to illustrate the effect of each one on the unit square with vertices at
(0, 0), (1 , 0), (0, 1), and ( 1 , 1).

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Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

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Question Posted: Apr 15, 2016 06:08 AM

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The three types of elementary matrices give rise to five types of 2 Ã 2 matrices with

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0 し10 0111 :7 6 0

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Let Then A 1 stretches vectors horizontally by a factor of k A 2 stretches vectors vertica...View the full answer

Linear Algebra A Modern Introduction

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