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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

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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

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1 Answer

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Best answer

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

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