Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. = 13, x, = (1, 2, –1) h2 = -3, x, = (-2, 1 0) 23 = -3, x3 = (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 3 -1 4 -6 1 Ах, 5 -12 2 = 1,x1 4 2 13 -2 -4 -1 -1 4 -6 Ax2 = = -3 1 = 1,x2 4 5 -12 -2 -4 -1 4 -6 3. 3 Ax3 = -3 0 = 13x3 4 5 -12 = -2 -4 1.
Verify that 2, is an eigenvalue of A and that x, is a corresponding eigenvector. = 13, x, = (1, 2, –1) h2 = -3, x, = (-2, 1 0) 23 = -3, x3 = (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 3 -1 4 -6 1 Ах, 5 -12 2 = 1,x1 4 2 13 -2 -4 -1 -1 4 -6 Ax2 = = -3 1 = 1,x2 4 5 -12 -2 -4 -1 4 -6 3. 3 Ax3 = -3 0 = 13x3 4 5 -12 = -2 -4 1.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.CR: Chapter 10 Review
Problem 62CR
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