Question: Explain why \[S=\left\{ \left[ \begin{matrix}

1 & 0 \\
0 & 0 \\

\end{matrix} \right],\left[ \begin{matrix}

0 & 1 \\
1 & 0 \\

\end{matrix} \right],\left[ \begin{matrix}

1 & 0 \\
0 & 1 \\

\end{matrix} \right],\left[ \begin{matrix}

7 & 4 \\
4 & 3 \\

\end{matrix} \right] \right\}\] not a basis for is \[{{M}_{2,2}}.\]