# Math Help - Help please?

1. ## Help please?

show that AX=B has a solution if rank[A| B] = rankA

I really have no clue on this please help me out thanks (:

2. Originally Posted by treetheta

show that AX=B has a solution if rank[A| B] = rankA

I really have no clue on this please help me out thanks (:
Hint: if $B$ is not in the column space of $A,$ then $rank [A|B] = 1 + rank A > rank A,$ which is a contradition.

3. How does this help me show that if your showing me a contradicition