Q.

If  A=[2-13-451]  and  B=[234-215], then:

1 only AB is defined  
2 only BA is defined  
3 AB and BA both are defined  
4 AB and BA both are not defined  

Ans.

(3)

Ans.        AB and BA both are defined

Explanation:

Let A=[aij]2×3 and B=[bij]3×2

Both AB and BA are defined.