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Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 7 -1 7 11 = 7, x, = (1, 0, 0) 5 1, 1, = 5, x, = (1, 2, 0) 0 6] 13 = 6, x3 = (-6, 1, 1) A = 7 -1 7 1 Ax1 = 70 = 1,x1 5 1 0 6 7 -1 7 1 1 Ax2 = = 5 2 = 12x2 5 1 2 0 6 7 -1 7 -9- -6 Ax3 = = 1,3×3 5 1 1 0 6

Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 7 -1 7 11 = 7, x, = (1, 0, 0) 5 1, 1, = 5, x, = (1, 2, 0) 0 6] 13 = 6, x3 = (-6, 1, 1) A = 7 -1 7 1 Ax1 = 70 = 1,x1 5 1 0 6 7 -1 7 1 1 Ax2 = = 5 2 = 12x2 5 1 2 0 6 7 -1 7 -9- -6 Ax3 = = 1,3×3 5 1 1 0 6

Linear Algebra: A Modern Introduction
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 16EQ
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Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 1 = 7, x, = (1, 0, 0) 1, = 5, x, = (1, 2, 0) 13 = 6, x, = (-6, 1, 1) 7 -1 7 A = 5 1 0 6 7 -1 7 1 1 Ax1 = 7 0 = 1,x1 5 1 = 0 6 7 -1 7 5 1 1 1 Ax2 = 1,X2 2 = 5 0 6 7 -1 7 -6 5 1 0 6 = 1,3×3 Ax3 1 = 6 1 1 1 Need Help? Read It Submit Answer
Transcribed Image Text:Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 1 = 7, x, = (1, 0, 0) 1, = 5, x, = (1, 2, 0) 13 = 6, x, = (-6, 1, 1) 7 -1 7 A = 5 1 0 6 7 -1 7 1 1 Ax1 = 7 0 = 1,x1 5 1 = 0 6 7 -1 7 5 1 1 1 Ax2 = 1,X2 2 = 5 0 6 7 -1 7 -6 5 1 0 6 = 1,3×3 Ax3 1 = 6 1 1 1 Need Help? Read It Submit Answer
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