Verify that λ_i is an eigenvalue of A and that x_i is a corresponding eigenvector. A = [[9, -1, 2], [0, 7, 1], [0, 0, 8]], λ_1 = 9, x_1 = (1, 0, 0), λ_2 = 7, x_2 = (1, 2, 0), λ_3 = 8, x_3 = (-1, 1, 1). Ax_1 = [[9, -1, 2], [0, 7, 1], [0, 0, 8]] [[1], [0], [0]] = [[9], [0], [0]] = 9 [[1], [0], [0]] = λ_1x_1. Ax_2 = [[9, -1, 2], [0, 7, 1], [0, 0, 8]] [[1], [2], [0]] = [[7], [14], [0]] = 7 [[1], [2], [0]] = λ_2x_2. Ax_3 = [[9, -1, 2], [0, 7, 1], [0, 0, 8]] [[-1], [1], [1]] = [[-8], [8], [8]] = 8 [[-1], [1], [1]] = λ_3x_3.