Find the eigenvalues and eigenvectors of A geometrically over the real numbers R. (If an eigenvalue does not exist, enter DNE. If an eigenvector does not exist, enter DNE in any single blank.) (reflection in the line y = x) 0 1 A = 1 0 11 1 = 1 x has eigenspace span (smaller A-value) 1 1 12 = -1 × has eigenspace span (larger A-value) -1

Find the eigenvalues and eigenvectors of A geometrically over the real numbers R. (If an eigenvalue does not exist, enter DNE. If an eigenvector does not exist, enter DNE in any single blank.) (reflection in the line y = x) 0 1 A = 1 0 11 1 = 1 x has eigenspace span (smaller A-value) 1 1 12 = -1 × has eigenspace span (larger A-value) -1

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.1: Introduction To Eigenvalues And Eigenvectors

Problem 37EQ

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