[o 0 5Let C = 0 3 0l2 o ol1. Is C diagonal? If no, diagonalize C using the spectral theorem of linear algebra.2. Base on (a), determine the signature, spectrum, and inertia of C.3. Obtain the quadratic form q(x), where x = [x x2 x3]". What can be said about itsdefiniteness?4. If b = [1 -1 o]", determine whether the matrix equation Ax = b indicates a solution byconstructing its augmented matrix. Is there is a solution? Is the solution unique? If yes,obtain x' using Cramer's rule.

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Answered: 0 0 51 Let C =0 3 0 l2 0 ol 1. Is C…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.4: The Lu Factorization

Problem 34EQ

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0 0 51 Let C =0 3 0 l2 0 ol 1. Is C diagonal? If no, diagonalize C using the spectral theorem of linear algebra. 2. Base on (a), determine the signature, spectrum, and inertia of C. 3. Obtain the quadratic form q(x), where x [x x2 x3]". What can be said about its definiteness?