Which of the following statements about A = (1 -4 0 -2) is true? ({x_1, x_2} are components of the eigenvector.) a) lambda = 1 is an eigenvalue and its eigenvector satisfies 4x_2 - 2x_1 = 0 b) lambda = -1 is an eigenvalue and its eigenvector satisfies -2x_2 = 0 c) lambda = -2 is an eigenvalue and its eigenvector satisfies 3x_2 - 2x_1 = 0 d) lambda = 1 is an eigenvalue and its eigenvector satisfies -x_2 = 0 e) lambda = -2 is an eigenvalue and its eigenvector satisfies 4x_1 + 3x_2 = 0 f) lambda = -l is an eigenvalue and its eigenvector satisfies 3x_1 + 2x_2 = 0 g) lambda = 2 is an eigenvalue and its eigenvector satisfies 2x_1 - x_2 = 0 h) lambda = 2 is an eigenvalue and its eigenvector satisfies 4x_1 = 0
Show transcribed image text Which of the following statements about A = (1 -4 0 -2) is true? ({x_1, x_2} are components of the eigenvector.) a) lambda = 1 is an eigenvalue and its eigenvector satisfies 4x_2 - 2x_1 = 0 b) lambda = -1 is an eigenvalue and its eigenvector satisfies -2x_2 = 0 c) lambda = -2 is an eigenvalue and its eigenvector satisfies 3x_2 - 2x_1 = 0 d) lambda = 1 is an eigenvalue and its eigenvector satisfies -x_2 = 0 e) lambda = -2 is an eigenvalue and its eigenvector satisfies 4x_1 + 3x_2 = 0 f) lambda = -l is an eigenvalue and its eigenvector satisfies 3x_1 + 2x_2 = 0 g) lambda = 2 is an eigenvalue and its eigenvector satisfies 2x_1 - x_2 = 0 h) lambda = 2 is an eigenvalue and its eigenvector satisfies 4x_1 = 0