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) $\leq$ rank(A) C) rank (AB) $\leq$ rank(B) D) rank (AB) $\leq$ min (rank A, rank B) Answer: Option DExplanation:$\because$ rank (AB ) $\leq$ rank (A) and rank (A B) $\leq$ rank (B) therefore rank (A B ) $\leq$ min (rank A, rank B)
