Let the eigenvalues of a 2 × 2 matrix A be 1, -2 with eigenvectors x 1 and x 2 respectively. Then the eigenvalues and eigenvectors of the matrix A 3 would, respectively, be

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

-1, -2: x 1 + x 2 , x 1 - x 2 ;

GATE Electrical Engineering (EE) 2016 Shift 1 Solved Paper

Question : 38 of 65

Marks: +1, -0

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

1, -8: x₁, x₂
-1, -2: x₁ + x₂, x₁ - x₂;
1, -2: x₁, x₂
2, 0: x₁ + x₂, x₁ - x₂;

Validate

Go to Question:

Prev Question

Next Question