Explore topic-wise MCQs in Discrete Mathematics.

This section includes 7 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.

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
Discussion
2.

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))
Discussion
3.

For a matrix A of order n, the det(adj(A)) = (det(A))n, where adj() is adjoint of matrix.

A. True
B. False
Answer» C.
Discussion
4.

If A is non singular matrix then AB = AC implies B = C.

A. True
B. False
Answer» B. False
Discussion
5.

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>
Discussion
6.

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
Discussion
7.

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>
Discussion