Explore topic-wise MCQs in Discrete Mathematics.

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.
Discussion
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
Discussion
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.
Discussion
4.

If for a square matrix A and B, null matrix O, AB = O implies BA=O.

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

The Inverse exist only for non-singular matrices.

A. True
B. False
Answer» B. False
Discussion
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)
Discussion
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
Discussion
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
Discussion
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
Discussion
10.

The determinant of identity matrix is?

A. 1
B. 0
C. Depends on the matrix
D. None of the mentioned
Answer» B. 0
Discussion
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.
Discussion
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
Discussion
13.

State whether the given statement is True or False?
A. False
B. True
Answer» C.
Discussion
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)
Discussion
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
Discussion
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
Discussion
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
Discussion
18.

The determinant of identity matrix is :
A. 1
B. 0
C. Depends on the matrix
D. None of the mentioned
Answer» B. 0
Discussion