## Matrix Span

Show that if,

A= $\left(\begin{array}{cc}1 & 0\\0 & 0 \end{array}\right)$

B = $\left(\begin{array}{cc}0 & 0\\0 & 1 \end{array}\right)$

C = $\left(\begin{array}{cc}0 & 1\\1 & 0 \end{array}\right)$

Then span of {A,B,C} is the set of all symmetric 2x2 matrices