Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = -11, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3, 0, 1) -4 -2 %3D A = -2 -7 1 2 -6 -4 -2 3 1 1 Ax1 -2 -7 2 = -11 2 1 2 -6 -1 -4 -2 3 -2 -2 Ax2 = 12x2 -2 -7 1 -3 1 = 1 2 -6 -4 -2 3 3 3 -3 0 = 13x3 -2 -7 1 2 -6 Ахз 6.

Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = -11, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3, 0, 1) -4 -2 %3D A = -2 -7 1 2 -6 -4 -2 3 1 1 Ax1 -2 -7 2 = -11 2 1 2 -6 -1 -4 -2 3 -2 -2 Ax2 = 12x2 -2 -7 1 -3 1 = 1 2 -6 -4 -2 3 3 3 -3 0 = 13x3 -2 -7 1 2 -6 Ахз 6.

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 4EQ: In Exercises 1-6, show that vis an eigenvector of A and find the corresponding eigenvalue....

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