# Math Help - Matrix problem

1. ## Matrix problem

Consider an arbitrary $n$ x $m$ matrix $A$.
(a). What is the relationship between the row spaces of $A$ and $E = rref(A)$?
(b). What is the relationship between the dimension of the row space of $A$ and $rank(A)$?

2. $dim(A)=rank(A)=rank(A^T), A^T:row\ spaces$