title: Why does row echelon form work for finding the Rank of a matrix?
body: <p>I have been studying Linear Algebra and came across gauss-elimination method. While it does give the correct answers , I am not able to understand how it works. 
  So, we compare each row with rest of the rows to see if any is dependent on the current row. But how does it identify, if One of the rows in the matrix, is a linear combination of 2 or more other rows??</p>