Classify each of the quadratic forms in Exercises 1-3 as positive definite, positive semidefinite, negative definite, negative

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Classify each of the quadratic forms in Exercises 1-3 as positive definite, positive semidefinite, negative definite, negative semidefinite, or indefinite.
1.

3. - 2x2 - 2y2 + 2xy

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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 06:23 AM

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Classify each of the quadratic forms in Exercises 1-3 as positive definite, positive semidefinite, negative definite, negative

Question:

xi 2x2

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1 The matrix of this form is So that its characteristic polynomial is Since the eigenvalues 1 and ...View the full answer

Linear Algebra A Modern Introduction

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