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This section includes 6 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. |
For matrix A, B if A B = O, where O is a null matrix then? |
A. | A = O |
B. | B = O |
C. | A = B |
D. | None of the mentioned |
Answer» D. None of the mentioned | |
2. |
For matrix A, B.(A+B)T = AT + BT and (AB)T = ATBT if the orders of matrices are appropriate. |
A. | True |
B. | False |
Answer» C. | |
3. |
If for a square matrix A, A2 = A then such a matrix is known as _________ |
A. | Idempotent matrix |
B. | Orthagonal matrix |
C. | Null matrix |
D. | None of the mentioned |
Answer» B. Orthagonal matrix | |
4. |
Let A=[aij ] be an mxn matrix and k be a scalar then kA is equal to __________ |
A. | [ka<sub>ij</sub> ]<sub>mxn</sub> |
B. | [a<sub>ij</sub>/k ]<sub>mxn</sub> |
C. | [k<sup>2</sup> a<sub>ij</sub>]<sub>mxn</sub> |
D. | None of the mentioned |
Answer» B. [a<sub>ij</sub>/k ]<sub>mxn</sub> | |
5. |
Let A order(axb) and Border(cxd) be two matrices, then if AB exists, the order of AB is? |
A. | axd |
B. | bxc |
C. | axb |
D. | cxd |
Answer» B. bxc | |
6. |
Let A order(axb) and Border(cxd) be two matrices, then for AB to exist, correct relation is given by? |
A. | a = d |
B. | b = c |
C. | a = b |
D. | c = d |
Answer» C. a = b | |