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

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

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 5, x1 = (1, 2, -1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3, 0, 1) -2 2 -3 A = 2 1 -6 -1 -2 -2 2 -3 1 1 Ax1 1 -6 = 11×1 2 2 -1 -2 -1 -2 2 -3 -2 -2 Ax2 2 1 -6 1 -3 = -1 -2 -2 2 -3 3 Ax3 = 13x3 2 1 -6 -3 = -1 -2
Transcribed Image Text:Verify that 2; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 5, x1 = (1, 2, -1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3, 0, 1) -2 2 -3 A = 2 1 -6 -1 -2 -2 2 -3 1 1 Ax1 1 -6 = 11×1 2 2 -1 -2 -1 -2 2 -3 -2 -2 Ax2 2 1 -6 1 -3 = -1 -2 -2 2 -3 3 Ax3 = 13x3 2 1 -6 -3 = -1 -2
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