10forA and Bmultiplicationare to notices conformablethen sand (AB) isN – InterviewSolution

1.	10forA and Bmultiplicationare to notices conformablethen sand (AB) isNu
Answer» If A and B are two matriceswhich can be multiplied,then rank(AB) <= min(rank(A),rank(B) ). I want to prove the following,IfA is an M by nmatrixandBis a squarematrixofrankn,then rank(AB) =rank(A).If A and B are two matriceswhich can be multiplied,then rank(AB) <= min(rank(A),rank(B) ).

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