verity that A; Is an eigenvalue of A and that X, Is a corresponding elgenvector. 11 = 13, x, = (1, 2, –1) 12 = -3, x, = (-2, 1 0) 23 = -3, x3 = (3, 0, 1) -1 4 -6 A = 4 5 -12 -2 -4 -1 4 -6 1 Ax, = 5 -12 = 13 2 = 1,x1 4 -2 -4 -1 4 -6 Ax2 = 1 = 1,X2 4 5 -12 -3 -2 -4 -1 4 -6 Ax3 = -3 0 = 1,x3 4 5 -12 -2 -4 3 1

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