MCQOPTIONS
Saved Bookmarks
MCQOPTIONS
This section includes 111 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.
| 101. |
If A is a square matrix, then what is adj (A-1) – (adj A)-1 equal to? |
| A. | 2|A| |
| B. | Null matrix |
| C. | Unit matrix |
| D. | None of the above |
| Answer» C. Unit matrix | |
| 102. |
If \({\rm{A}} = \left[ {\begin{array}{*{20}{c}} 1&{ - 1}\\ 2&3 \end{array}} \right]{\rm{\;\;and\;B}} = \left[ {\begin{array}{*{20}{c}} 2&3\\ { - 1}&{ - 2} \end{array}} \right]\), then which of the following is/are correct?1. AB (A-1B-1) is a unit matrix2. (AB)-1 = A-1B-1Select the correct answer using the code given below: |
| A. | 1 only |
| B. | 2 only |
| C. | Both 1 and 2 |
| D. | Neither 1 nor 2 |
| Answer» E. | |
| 103. |
IF_FOR_A_SQUARE_MATRIX_A(NON-SINGULAR)_AND_B,_NULL_MATRIX_O,_AB_=_O_THEN:?$ |
| A. | B is a null matrix |
| B. | B is a non singular matrix |
| C. | B is a identity matrix |
| D. | All of the mentioned |
| Answer» B. B is a non singular matrix | |
| 104. |
Let I3 be the Identity matrix of order 3 then (I3)-1 is equal to? |
| A. | 0 |
| B. | 3I<sub>3</sub> |
| C. | I<sub>3</sub> |
| D. | None of the mentioned. |
| Answer» D. None of the mentioned. | |
| 105. |
For a non-singular matrix A, A-1 is equal to: |
| A. | (adj(A))/det(A) |
| B. | det(A)*(adj(A)) |
| C. | det(A)*A |
| D. | None of the mentioned |
| Answer» B. det(A)*(adj(A)) | |
| 106. |
State True or False? |
| A. | False |
| B. | True |
| Answer» B. True | |
| 107. |
If matrix A, B and C are invertible matrix of same order then (ABC)-1= |
| A. | CBA |
| B. | C<sup>-1</sup> B<sup>-1</sup> A<sup>-1</sup> |
| C. | C<sup>T</sup> B<sup>-1</sup> A<sup>T</sup> |
| D. | None of the mentioned |
| Answer» C. C<sup>T</sup> B<sup>-1</sup> A<sup>T</sup> | |
| 108. |
If A is an invertible square matrix then: |
| A. | (A<sup>T</sup>)<sup>-1</sup> = (A<sup>-1</sup>)<sup>T</sup> |
| B. | (A<sup>T</sup>)<sup>T</sup> = (A<sup>-1</sup>)<sup>T</sup> |
| C. | (A<sup>T</sup>)<sup>-1</sup> = (A<sup>-1</sup>)<sup>-1</sup> |
| D. | None of the mentioned |
| Answer» B. (A<sup>T</sup>)<sup>T</sup> = (A<sup>-1</sup>)<sup>T</sup> | |
| 109. |
Let A = [0 1 0 0 ], A-1 is equal to: |
| A. | Null matrix |
| B. | Identity matrix |
| C. | Does not exist |
| D. | None of the mentioned |
| Answer» D. None of the mentioned | |
| 110. |
For matrix A,(A3) = I, A-1 is equals to: |
| A. | A<sup>2</sup> |
| B. | A<sup>-2</sup> |
| C. | Can’t say |
| D. | None of the mentioned |
| Answer» B. A<sup>-2</sup> | |
| 111. |
For a matrix A, B and identity matrix I, if a matrix AB=I=BA then: |
| A. | B is inverse of A |
| B. | A is inverse of B |
| C. | A<sup>-1</sup> = B, B<sup>-1</sup> = A |
| D. | All of the mentioned |
| Answer» E. | |