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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 18EQ
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