Find (a) the largest eigenvalue and (b) the eigenvalue closest to zero. In each case, set x, = (1,0,0,0) and carry out approximations until the approximating sequence seems accurate to four decimal places. Include the approximate eigenvector. 1 2 7 7 5 14 15 13 A = -5 2 0 5 9 4 8 2 a. The largest eigenvalue is approximately (Do not round until the final answer. Then round to four decimal places as needed.)

Find (a) the largest eigenvalue and (b) the eigenvalue closest to zero. In each case, set x, = (1,0,0,0) and carry out approximations until the approximating sequence seems accurate to four decimal places. Include the approximate eigenvector. 1 2 7 7 5 14 15 13 A = -5 2 0 5 9 4 8 2 a. The largest eigenvalue is approximately (Do not round until the final answer. Then round to four decimal places as needed.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter5: Orthogonality

Section5.3: The Gram-schmidt Process And The Qr Factorization

Problem 8BEXP

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