I'm having trouble understanding how to represent a matrix on the (x,y)-plane. It seems like my classes expect me to know this, but I was never shown how. I've heard that there are a lot of connections between matrices and geometry, that matrices can be used to provide a geometric representation of something, but I don't understand how. For example, if I have a 2x2 matrix [tex]\left(\begin{array}{cc}x&y\\0&1\end{array}\right)[/tex], how does that look in the (x,y)-plane? I really want to understand this better.