Eigen values of a real symmetric matrix are always
| A. | positive |
| B. | real and imaginary |
| C. | negative |
| D. | real |
|
Option: D Explanation : Click on Discuss to view users comments. |
If AT = A-1, where A is a real matrix, then A is
| A. | normal |
| B. | symmetric |
| C. | Hermitian |
| D. | orthogonal |
|
Option: D Explanation : Click on Discuss to view users comments. |
If A and B are non-zero square matrices, then AB = 0 implies
| A. | A and B are orthogonal |
| B. | A and B are singular |
| C. | B is singular |
| D. | A is singular |
|
Option: A Explanation : Click on Discuss to view users comments. MABUD ALI SARKAR said: (1:39pm on Thursday 10th December 2015)
SINCE PRODUCT OF TWO NON-ZERO VECTORS IMPLIES THEY ARE ORTHOGONAL TO EACH OTHER. SO A and B ARE ORTHOGONAL
|
If A and B be real symmetric matrices of sizen n x n, then
| A. | AAT = 1 |
| B. | A = A-1 |
| C. | AB = BA |
| D. | (AB)T = BA |
|
Option: D Explanation : Click on Discuss to view users comments. MABUD ALI SARKAR said: (1:42pm on Thursday 10th December 2015)
(AB)^T=(B^T)(A^T) =BA
Zakir ali said: (8:30pm on Sunday 30th April 2017)
Please tell me about different type of matrices with example
|
