Matrix A has characteristic polynomial p(2) = (-45-2)(5-2)(18-2).-76 28A =6 2 -1428 -14 -17Given this information, find the spectral form of A, i.e. A = QAQT. (Enter your answer as one augmented matrix. Enter sqrt(n) for √n.)-822-450021-1050[QA] =1020018X

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

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Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 16EQ

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Matrix A has characteristic polynomial p(2) = (-45-2)(5-2)(18-2). -7 6 28 A = 6 2 -14 28 -14 -17 Given this information, find the spectral form of A, i.e. A = QAQT. (Enter your answer as one augmented matrix. Enter sqrt(n) for √n.) -8 2 2 -45 0 0 2 1 -1 0 5 0 [QA] = 1 0 2 0 0 18 X