Saved Bookmarks
| 1. |
If 3, 5 are the eigenvalues of a square matrix A of order 2, then the eigenvalues of the matix A3 will be1. 27, 1252. 9, 153. 3, 54. 9, 25 |
|
Answer» Correct Answer - Option 1 : 27, 125 Concept: If λ is an eigenvalue of a matrix A and k is a scalar then: 1) λm is the eigenvalue of matrix Am (m belongs to N). 2) kλ is an eigenvalue of matrix kA. 3) λ + k is an eigenvalue of the matrix A + kI. 4) λ - k is an eigenvalue of matrix A - kI. Calculation: Given: 3, 5 are the eigenvalues then, Using Property 1; A3 = λ3 = 33 = 27. A3 = λ3 = 53 = 125. |
|