In Exercises 29 and 30, verify that S and T are inverses. 1. S: R2 R2

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In Exercises 29 and 30, verify that S and T are inverses.
1. S: R2 †’ R2 defined by

and T: R2 †’ R2 defined by

2. S: P1 †’ P1 defined by S(a + bx) = (- 4a + b) + 2ax and T: P1 †’ P1 defined by T(a + bx) = b/2 + (a + 2b)x

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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 06:29 AM

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In Exercises 29 and 30, verify that S and T are inverses. 1. S: R2 R2

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y」 [3x + y -3x + 4y

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1 We must verify that S T IR2 and TS IR2 T S T 3 S 3x 4y S T s T 4xy T TS Thus for any vector 4...View the full answer

Linear Algebra A Modern Introduction

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