Discrete Mathematics Questions and Answers – Operations on Matrices

This set of Discrete Mathematics online test focuses on “Operations on Matrices”.

1. Let A and B be two matrices of same order, then state whether the given statement is true or false.

A + B = B + A

a) True
b) False
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2. Let A and B be two matrices of same order, then state whether the given statement is true or false.

AB = BA

a) True
b) False
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3. Let A order(axb) and Border(cxd) be two matrices, then for AB to exist, correct relation is given by?
a) a = d
b) b = c
c) a = b
d) c = d
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4. Let A order(axb) and Border(cxd) be two matrices, then if AB exists, the order of AB is?
a) axd
b) bxc
c) axb
d) cxd
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5. Let A=[a_ij ] be an mxn matrix and k be a scalar then kA is equal to __________
a) [ka_ij ]_mxn
b) [a_ij/k ]_mxn
c) [k² a_ij]_mxn
d) None of the mentioned
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6. The matrix multiplication is distrbutive over matrix addition.
a) True
b) False
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7. If for a square matrix A, A² = A then such a matrix is known as _________
a) Idempotent matrix
b) Orthagonal matrix
c) Null matrix
d) None of the mentioned
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8. For matrix A, B.(A+B)^T = A^T + B^T and (AB)^T = A^TB^T if the orders of matrices are appropriate.
a) True
b) False
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9. For matrix A, B if A – B = O, where O is a null matrix then?
a) A = O
b) B = O
c) A = B
d) None of the mentioned
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10. All the diagonal elements of a skew-symmetric matrix is?
a) 0
b) 1
c) 2
d) Any integer
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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