Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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Chapter 5.1, Problem 10EQ

In Exercises 7-10, show that the given vectors form an orthogonal basis for 2 o r 3 . Then use Theorem 5.2 to express was a linear combination of these basis vectors. Give the coordinate vector [ w ] β ofwwith respect to the basis β = { v 1 , v 2 } of 2 or β   = v 1 ,v 2 , v 3 of 3 .

v 1 = [ 1 1 1 ] , v 2 = [    1 1    0 ] , v 3 = [    1    1 2 ] ; w = [ 1 2 3 ]

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Linear Algebra: A Modern Introduction

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