MATHEMATICS QUIZ
Quiz by Mary Diana Doraiswamy
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- Q1
1. If matrices A and B are inverse of each other then
(a) AB = BA
(b) AB = BA = I
(c) AB = BA = O
(d) AB = O, BA = I
(d)
(b)
(a)
(c)
10s - Q2
2. The diagonal elements of a skew symmetric matrix are
(a) all zeroes
(b) are all equal to some scalar k(≠0)
(c) can be any number
(d) none of these
(d)
(b)
(a)
(c)
10s - Q3
3. If a matrix A is both symmetric and skew symmetric then matrix A is
(a) a scalar matrix
(b) a diagonal matrix
(c) a zero matrix of order n× n
(d) a rectangular matrix.
(c)
(a)
(b)
(d)
10s - Q4
4. A matrix has 18 elements, then possible number of orders of a matrix are
(a) 3
(b) 4
(c) 6
(d) 5
(d)5
(c) 6
(a) 3
(b) 4
10s - Q5
5. If matrix A is of order m × n, and for matrix B, AB and BA both are defined, then order of matrix Bis
(a)m × n
(b) n × n
(c) m × m
(d) n × m
(b)
(c)
(a)
(d)
10s - Q6
6. Let A be a square matrix of order 2 × 2, then |KA|is equal to
(a) K|A|
(b) K2|A|
(c) K3|A|
(d) 2K|A|
(d) 2K|A|
(c) K3|A|
(b) K2|A|
(a) K|A|
10s - Q7
(c)
(a)
( d)
(b)
10s - Q8
8. If∆=
and Aij is co factor of aij,then the value of ∆ is given by
(c) a11A11 + a12A21 + a13A31
(d) a11A11 + a21A21 + a31A31
(a) a11A31 + a12A32 + a13A33
(b) a21A11 + a22A12 + a23A13
10s - Q9
9. A and Bare invertible matrices of the same order such that |(AB)–1| = 8, If|A| = 2, then |B| is
(a) 16
(b) 4
(d)
(c) 6
10s - Q10
10. If A and B are invertible matrices then which of the following is not correct
(b) det(A–1) = (det A)–1
(d) (A + B)–1 = A–1 + B–1
(c) (AB)–1 = B–1A–1
(a) AdjA = |A|.A–1
10s - Q11
11. Let A be anon-angular square matrix of order 3 × 3, then |A . adj A| is equal to
(b) |A|2
(a) |A|
(d) 3|A|
(c) |A|
10s - Q12
12. Let A be a square matrix of order 3 × 3 and k a scalar, then |kA|is equal to
(b) |k| |A|
(d)none of these
(a) k |A|
(c) k3 |A|
10s - Q13
13. Let R be a relation on the set L of lines defined by l1R l2 if l1 is perpendicular to l2,then relation R is
(a) reflexive and symmetric
(b) symmetric and transitive
(c) equivalence relation
(d) symmetric
(c)
(a)
(d)
(b)
10s - Q14
14. Given triangles with sides T1: 3, 4, 5; T2: 5, 12, 13; T3: 6, 8, 10; T4: 4, 7, 9 and a relation R in set of triangles defined as R= {(∆1, ∆2) : ∆1 is similar to ∆2}.Which triangles belong to the same equivalence class?
(a) T1 and T2
(b) T2 and T3
(c) T1 and T3
(d) T1 and T4
(b)
(c)
(d)
(a)
10s - Q15
15. Given set A = {a, b, c}. An identity relation in set A is
(a) R = {(a, b), (a, c)}
(b) R = {(a, a), (b, b), (c, c)}
(c) R = {(a, a), (b, b), (c, c), (a, c)}
(d) R = {(c, a), (b, a), (a, a)}
(b)
(a)
(c)
(d)
10s
