56. Find the inverse of the matrix B defined by

$$

B =

\begin{bmatrix}

4 & 1 & 3 & 2 & 1 \\

1 & 2 & 6 & 4 & 2 \\

3 & 6 & 12 & 8 & 4 \\

2 & 4 & 8 & 24 & 12 \\

1 & 2 & 4 & 12 & 12

\end{bmatrix}

$$

Use Theorem 8.3.7.