Answered: 1. Show that {1, (x - 1), (x - 1)(x -… | bartleby

Linear Algebra: A Modern Introduction

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.7: Applications

Problem 74EQ

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1. Show that {1, (x - 1), (x - 1)(x - 2)} are linearly independent and are a spanning set.
Note that p(x) = a +bx+cr² € W if and only if p(1) = a +b+c= 0, then using this to
show that W is closed under addition and scalar multiplication.

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