If A is a matrix of order m x n and B is a matrix such that AB’ and B’A are both defined, the order of the matrix B is
(1) n x n
(2) m x n
(3) m x m
(4) n x m
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If A is a matrix of order m x n and B is a matrix such that AB’ and B’A are both defined, the order of the matrix B is
(1) n x n
(2) m x n
(3) m x m
(4) n x m
If A is a matrix of order m x n and B is a matrix such that AB’ and B’A are both defined, the order of the matrix B is
(1) n x n
(2) m x n
(3) m x m
(4) n x m
Correct option (2) m x n
Explanation:
A = m x n, B = p x v
AB’ = ( m x n) x (q x p) ⇒ q = n
B’ A = (q x p) x ( m x n ) ⇒ p = m