Show that if,

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

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

C = $\displaystyle \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