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This section includes 5 Mcqs, each offering curated multiple-choice questions to sharpen your Signals & Systems knowledge and support exam preparation. Choose a topic below to get started.
1. |
Where do we use Eigen values? |
A. | Fashion or cosmetics |
B. | Communication systems |
C. | Operations |
D. | Natural herbals |
Answer» C. Operations | |
2. |
The Eigen values of a 3 3 matrix are 1, 2, 3 then the Eigen values of a matrix A3 are __________ |
A. | <sub>1</sub>, <sub>2</sub>, <sub>3</sub> |
B. | ( frac{1}{ _1}, frac{1}{ _2}, frac{1}{ _3} ) |
C. | ( _1^3, _2^3, _3^3 ) |
D. | 1, 1, 1 |
Answer» D. 1, 1, 1 | |
3. |
Let us consider a 3 3 matrix A with Eigen values of 1, 2, 3 and the Eigen values of A-1 are? |
A. | <sub>1</sub>, <sub>2</sub>, <sub>3</sub> |
B. | ( frac{1}{ _1}, frac{1}{ _2}, frac{1}{ _3} ) |
C. | - <sub>1</sub>, - <sub>2</sub>, - <sub>3</sub> |
D. | <sub>1</sub>, 0, 0 |
Answer» C. - <sub>1</sub>, - <sub>2</sub>, - <sub>3</sub> | |
4. |
Let the matrix A be the idempotent matrix then the Eigen values of the idempotent matrix are ________ |
A. | 0, 1 |
B. | 0 |
C. | 1 |
D. | -1 |
Answer» B. 0 | |
5. |
Let us consider a square matrix A of order n with Eigen values of a, b, c then the Eigen values of the matrix AT could be. |
A. | a, b, c |
B. | -a, -b, -c |
C. | a-b, b-a, c-a |
D. | a<sup>-1</sup>, b<sup>-1</sup>, c<sup>-1</sup> |
Answer» B. -a, -b, -c | |