SVD in action

Take the next square matrix:

$$A=\left( \begin{array}{cc} -1 & 3 \\ 3 & -1 \\ \end{array} \right)$$It has the following SVD:

$$U = \frac{1}{\sqrt{2}} \left( \begin{array}{cc} 1 & 1 \\ -1 & 1 \\ \end{array} \right) \qquad \Sigma = \left( \begin{array}{cc} 4 & 0 \\ 0 & 2 \\ \end{array} \right) \qquad V= \frac{1}{\sqrt{2}} \left( \begin{array}{cc} -1 & 1 \\ 1 & 1 \\ \end{array} \right)$$Use this information to get $A^{-1}$. Enter the entries of $8 A^{-1}$ in the following format:

0 0
0 0