Let the eigenvalues of a 2 × 2 matrix A be 1, -2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A3 would, respectively, be

Question

Let the eigenvalues of a 2 × 2 matrix A be 1, -2 with eigenvectors x1 and x2 respectively. Then the eigenvalues and eigenvectors of the matrix A3 would, respectively, be

Examsnet · Accepted Answer

Correct Answer is : 1, -8: x1, x2

GATE Electrical Engineering (EE) 2016 Shift 1 Solved Paper