(1) If A and B are two square matrices of order 3 such that |A| = -1 , |B| = 3 ,then |3AB| = ?
(a) -9
(b) -81
(c) -3
(d) 81
(ans:-) (a)
(2) If A' is the transpose of a square matrix then
(a) |A| ≠ |A'|
(b) |A| = |A'|
(c) |A| + |A'| = 0
(d) none of these
(ans:-)(b)
(3) If A and B are matrices, then
(a) AB = BA
(b) AB = 0
(c) AB = I
(d) AB can't be necessarily be defined
(ans:-) (d)
Q.) A is a 3 × 4 matrix and B is a matrix such that A'B and AB' both are define .Then B of order
(a) 3 × 3
(b) 4 × 3
(c) 3 × 4
(d) 4 × 4
(ans:-) (d)
(5) Let A and B be 3 × 3 matrices.Then AB = 0 implies
(a) A=0 or B=0
(b) A=0 and B=0
(c) A=0 or B=0
(d) either |A|=0 or |B|=0
(ans:-) (d)
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