Discrete Mathematics Questions and Answers – Types of Matrices

This set of Discrete Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Types of Matrices”.

1. If a matrix A = [A₁₁ A₁₂ ⋯ A_1n A₂₁ A_2n ⋮ ⋮ A_n1 A_n2 ⋯ A_nn], order(nxn) A_ii = 1, A_ij = 0 for i ≠ j. Then that matrix is known as ________
a) Identity matrix
b) Null matrix
c) Singular matrix
d) None of the mentioned
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2. A symmetric matrix is a one in which?
a) All diagonal elements are zero
b) All diagonal elements are 1
c) A = A^T
d) A = -A^T
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3. An anti-symmetric matrix is a one in which?
a) All diagonal elements are zero
b) All diagonal elements are 1
c) A = A^T
d) A = -A^T
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4. 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
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5. 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
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6. 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
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7. A square matrix A = [a_ij ]_nxn, if a_ij = 0 for i > j then that matrix is known as _______
a) Upper triangular matrix
b) Lower triangular matrix
c) Unit matrix
d) Null matrix
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8. A square matrix A = [a_ij ]_nxn, if a_ij = 0 for i < j then that matrix is known as _______
a) Upper triangular matrix
b) Lower triangular matrix
c) Unit matrix
d) Null matrix
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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
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10. For matrix A if AA^T = I, I is identity matrix then A is?
a) Orthagonal matrix
b) Nilpotent matrix
c) Idempotent matrix
d) None of the mentioned
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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