Diagonalize the quadratic by finding an orthogonal matrix Q such that the change of variable x =

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Diagonalize the quadratic by finding an orthogonal matrix Q such that the change of variable x = Qy transforms the given form into one with no cross-product terms. Give Q and the new quadratic form.

x²₁ + x²₂ + 3x²₃ - 4x₁x₂

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Linear Algebra A Modern Introduction

ISBN: 978-0538735452

3rd edition

Authors: David Poole

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Question Posted: Nov 13, 2018 12:40 PM

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Diagonalize the quadratic by finding an orthogonal matrix Q such that the change of variable x =

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A 1 2 0 2 10 003 A XIv 0 v Q ...View the full answer

Linear Algebra A Modern Introduction

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