Processing math: 100%


1)

If A and B are two matrices such than rank of A= m and rank of B= n, then


A) rank (AB)=mn

B) rank (AB) rank(A)

C) rank (AB) rank(B)

D) rank (AB) min (rank A, rank B)

Answer:

Option D

Explanation:

    rank (AB )  rank (A)

 and rank (A B) rank (B) 

 therefore rank (A B )   min (rank A, rank B)