Discrete Mathematics Questions and Answers – Inverse of Matrices

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

1. For a matrix A, B and identity matrix I, if a matrix AB=I=BA then?
a) B is inverse of A
b) A is inverse of B
c) A^-1 = B, B^-1 = A
d) All of the mentioned
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2. For matrix A,(A³) = I, A^-1 is equals to _________
a) A²
b) A^-2
c) Can’t say
d) None of the mentioned
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3. 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
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4. If A is an invertible square matrix then _________
a) (A^T)^-1 = (A^-1)^T
b) (A^T)^T = (A^-1)^T
c) (A^T)^-1 = (A^-1)^-1
d) None of the mentioned
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5. If matrix A, B and C are invertible matrix of same order then (ABC)^-1 = _________
a) CBA
b) C^-1 B^-1 A^-1
c) C^T B^-1 A^T
d) None of the mentioned
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6. If A is non singular matrix then AB = AC implies B = C.
a) True
b) False
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7. For a matrix A of order n, the det(adj(A)) = (det(A))ⁿ, where adj() is adjoint of matrix.
a) True
b) False
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8. 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
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9. Let I₃ be the Identity matrix of order 3 then (I₃)^-1 is equal to _________
a) 0
b) 3I₃
c) I₃
d) None of the mentioned
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10. If for a square matrix A(non-singular) and B, null matrix O, AB = O then?
a) B is a null matrix
b) B is a non singular matrix
c) B is a identity matrix
d) All of the mentioned
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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