The unit vectors x in R2 and their images Ax under the action of a 2 x 2 matrix A are drawn head-to-tail, as in the figure below. Q Estimate the eigenvectors and eigenvalues of A from the "eigenpicture." 2 O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 1 has the eigenspace span O The eigenvalue 0 has the eigenspace span 0 0 0 and the eigenvalue 1 has the eigenspace span ¹([1]). (-1)) and the eigenvalue 1 has the eigenspace span ((-1)) and the eigenvalue √2 has the eigenspace span ([1]) and the eigenvalue 2√2 has the eigenspace span ([³]). and the eigenvalue √2 has the eigenspace span an([ - ]). ([³]). ([1]). ([1]). ([ -1]).

The unit vectors x in R2 and their images Ax under the action of a 2 x 2 matrix A are drawn head-to-tail, as in the figure below. Q Estimate the eigenvectors and eigenvalues of A from the "eigenpicture." 2 O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 0 has the eigenspace span O The eigenvalue 1 has the eigenspace span O The eigenvalue 0 has the eigenspace span 0 0 0 and the eigenvalue 1 has the eigenspace span ¹([1]). (-1)) and the eigenvalue 1 has the eigenspace span ((-1)) and the eigenvalue √2 has the eigenspace span ([1]) and the eigenvalue 2√2 has the eigenspace span ([³]). and the eigenvalue √2 has the eigenspace span an([ - ]). ([³]). ([1]). ([1]). ([ -1]).

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.3: Eigenvalues And Eigenvectors Of N X N Matrices

Problem 24EQ

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