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Questions  

If A is matrix of order m x n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is 

a
m x m
b
n x n
c
n x m
d
m x n

detailed solution

Correct option is D

A= aijm x n and  B =bijp x q⇒B' =bijq x pnow AB'defined, so n=qB'A is also defined, so p=m∴Order of B' =bijn x mand order of B =bijm x n

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