MCQOPTIONS
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This section includes 18 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of the following property of matrix multiplication is correct? |
| A. | Multiplication is not commutative in general |
| B. | Multiplication is associative |
| C. | Multiplication is distributive over addition |
| D. | All of the mentioned |
| Answer» E. | |
| 2. |
Let A be a nilpotent matrix of order n then? |
| A. | An = O |
| B. | nA = O |
| C. | A = nI, I is Identity matrix |
| D. | None of the mentioned |
| Answer» B. nA = O | |
| 3. |
If for a square matrix A and B,null matrix O, AB = O implies A=O and B=O. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
If for a square matrix A and B, null matrix O, AB = O implies BA=O. |
| A. | True |
| B. | False |
| Answer» C. | |
| 5. |
The Inverse exist only for non-singular matrices. |
| A. | True |
| B. | False |
| Answer» B. False | |
| 6. |
Let A = [kaij]nxn, B = [aij]nxn, be an nxn matrices and k be a scalar then det(A) is equal to _________ |
| A. | is equal to _________a) Kdet(B)b) Kndet(B)c) K3det( |
| B. | Kndet(B) |
| C. | K3det(b) |
| D. | None of the mentioned |
| Answer» C. K3det(b) | |
| 7. |
For a skew symmetric odd ordered matrix A of integers, which of the following will hold true?a) det(A) = 9b) det(A) = 81c) det(A) = 0d) det( |
| A. | det(A) = 9 |
| B. | det(A) = 81 |
| C. | det(A) = 0 |
| D. | det(A) = 4 |
| Answer» D. det(A) = 4 | |
| 8. |
For a skew symmetric even ordered matrix A of integers, which of the following will not hold true?a) det(A) = 9b) det(A) = 81c) det(A) = 7d) det( |
| A. | det(A) = 9 |
| B. | det(A) = 81 |
| C. | det(A) = 7 |
| D. | det(A) = 4 |
| Answer» D. det(A) = 4 | |
| 9. |
If determinant of a matrix A is Zero than __________ |
| A. | A is a Singular matrix |
| B. | A is a non-Singular matrix |
| C. | Can’t say |
| D. | None of the mentioned |
| Answer» B. A is a non-Singular matrix | |
| 10. |
The determinant of identity matrix is? |
| A. | 1 |
| B. | 0 |
| C. | Depends on the matrix |
| D. | None of the mentioned |
| Answer» B. 0 | |
| 11. |
WHICH_OF_THE_FOLLOWING_PROPERTY_OF_MATRIX_MULTIPLICATION_IS_CORRECT:?$ |
| A. | Multiplication is not commutative in genral |
| B. | Multiplication is associative |
| C. | Multiplication is distributive over addition |
| D. | All of the mentioned |
| Answer» E. | |
| 12. |
Let A be a nilpotent matrix of order n the? |
| A. | A<sup>n</sup> = O |
| B. | nA = O |
| C. | A = nI, I is Identity matrix |
| D. | None of the mentioned |
| Answer» B. nA = O | |
| 13. |
State whether the given statement is True or False? |
| A. | False |
| B. | True |
| Answer» C. | |
| 14. |
Let A = [kaij ]nxn, B = [aij ]nxn, be an nxn matrices and k be a scalar then det(A) is equal to: |
| A. | Kdet(B) |
| B. | K<sup>n</sup>det(B) |
| C. | K<sup>3</sup>det(b) |
| D. | None of the mentioned |
| Answer» C. K<sup>3</sup>det(b) | |
| 15. |
For a skew symmetric odd ordered matrix A of integers, which of the following will hold true: |
| A. | det(A) = 9 |
| B. | det(A) = 81 |
| C. | det(A) = 0 |
| D. | det(A) = 4 |
| Answer» D. det(A) = 4 | |
| 16. |
For a skew symmetric even ordered matrix A of integers, which of the following will not hold true: |
| A. | det(A) = 9 |
| B. | det(A) = 81 |
| C. | det(A) = 7 |
| D. | det(A) = 4 |
| Answer» D. det(A) = 4 | |
| 17. |
If determinant of a matrix A is Zero than: |
| A. | A is a Singular matrix |
| B. | A is a non-Singular matrix |
| C. | Can’t say |
| D. | None of the mentioned |
| Answer» B. A is a non-Singular matrix | |
| 18. |
The determinant of identity matrix is : |
| A. | 1 |
| B. | 0 |
| C. | Depends on the matrix |
| D. | None of the mentioned |
| Answer» B. 0 | |