Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 13, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 3 %3D -1 4 -6 1 1 Ax1 = 4 5 -12 2 = 13 2 -2 -4 3 -1 -1 -1 4 -6 -2 -2 Ax2 = 4 5 -12 1 -3 12x2 -2 -4 3 -1 4 -6 3 3 Ax3 = 4 5 -12 -3 13X3 = -2 -4 3 1 II
Verify that 1; is an eigenvalue of A and that x; is a corresponding eigenvector. 11 = 13, x1 = (1, 2, –1) 12 = -3, x2 = (-2, 1 0) 13 = -3, x3 = (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 3 %3D -1 4 -6 1 1 Ax1 = 4 5 -12 2 = 13 2 -2 -4 3 -1 -1 -1 4 -6 -2 -2 Ax2 = 4 5 -12 1 -3 12x2 -2 -4 3 -1 4 -6 3 3 Ax3 = 4 5 -12 -3 13X3 = -2 -4 3 1 II
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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