Explore topic-wise MCQs in Discrete Mathematics.

This section includes 17 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 if AAT = I, I is identity matrix then A is?

A. Orthagonal matrix
B. Nilpotent matrix
C. Idempotent matrix
D. None of the mentioned
Answer» B. Nilpotent matrix
Discussion
2.

Two matrix can be added if _______

A. rows of both the matrices are same
B. columns of both the matrices are same
C. both rows and columns of both the matrices are same
D. number of rows of first matrix should be equal to number of column of second
Answer» D. number of rows of first matrix should be equal to number of column of second
Discussion
3.

A square matrix A = [aij ]nxn, if aij = 0 for i < j then that matrix is known as _______

A. Upper triangular matrix
B. Lower triangular matrix
C. Unit matrix
D. Null matrix
Answer» C. Unit matrix
Discussion
4.

A square matrix A = [aij ]nxn, if aij = 0 for i > j then that matrix is known as _______

A. Upper triangular matrix
B. Lower triangular matrix
C. Unit matrix
D. Null matrix
Answer» B. Lower triangular matrix
Discussion
5.

The trace of the matrix is defined as _______

A. Sum of all the elements of the matrix
B. Sum of all the elements of leading diagonal of matrix
C. Sum of all non-zero elements of matrix
D. None of the mentioned
Answer» C. Sum of all non-zero elements of matrix
Discussion
6.

An anti-symmetric matrix is a one in which?

A. All diagonal elements are zero
B. All diagonal elements are 1
C. A = AT
D. A = -AT
Answer» E.
Discussion
7.

A symmetric matrix is a one in which?

A. All diagonal elements are zero
B. All diagonal elements are 1
C. A = AT
D. A = -AT
Answer» D. A = -AT
Discussion
8.

If a matrix A = [A11 A12 ⋯ A1n A21 A2n ⋮ ⋮ An1 An2 ⋯ Ann], order(nxn) Aii = 1, Aij = 0 for i ≠ j. Then that matrix is known as ________

A. Identity matrix
B. Null matrix
C. Singular matrix
D. None of the mentioned
Answer» B. Null matrix
Discussion
9.

TWO_MATRIX_CAN_BE_ADDED_IF:?$

A. rows of both the matrices are same
B. columns of both the matrices are same
C. both rows and columns of both the matrices are same
D. number of rows of first matrix should be equal to number of column of second
Answer» D. number of rows of first matrix should be equal to number of column of second
Discussion
10.

For_matrix_A_if_AAT_=_I,_I_is_identity_matrix_then_A_is_:$

A. Orthagonal matrix
B. Nilpotent matrix
C. Idempotent matrix
D. None of the mentioned
Answer» B. Nilpotent matrix
Discussion
11.

A square matrix A = [aij ]nxn, if aij = 0 for i > j then that matrix is known as:
A. Upper triangular matrix
B. Lower triangular matrix
C. Unit matrix
D. Null matrix
Answer» B. Lower triangular matrix
Discussion
12.

The trace of the matrix is defined as:

A. Sum of all the elements of the matrix
B. Sum of all the elements of leading diagonal of matrix
C. Sum of all non-zero elements of matrix
D. None of the mentioned
Answer» C. Sum of all non-zero elements of matrix
Discussion
13.

A matrix having many rows and one column is known as?

A. Row matrix
B. Column matrix
C. Diagonal matrix
D. None of the mentioned
Answer» C. Diagonal matrix
Discussion
14.

A matrix having one row and many columns is known as?

A. Row matrix
B. Column matrix
C. Diagonal matrix
D. None of the mentioned
Answer» B. Column matrix
Discussion
15.

An anti-symmetric matrix is a one in which

A. All diagonal elements are zero
B. All diagonal elements are 1
C. A = A<sup>T</sup>
D. A = -A<sup>T</sup>
Answer» E.
Discussion
16.

A symmetric matrix is a one in which

A. All diagonal elements are zero
B. All diagonal elements are 1
C. A = A<sup>T</sup>
D. A = -A<sup>T</sup>
Answer» D. A = -A<sup>T</sup>
Discussion
17.

If a matrix A = [A11 A12 ⋯ A1n A21 A2n ⋮ ⋮ An1 An2 ⋯ Ann ], order(nxn) Aii = 1, Aij = 0 for i ≠ j. Then that matrix is know as

A. Identity matrix
B. Null matrix
C. Singular matrix
D. None of the mentioned
Answer» B. Null matrix
Discussion