Solve the Matrix Equation for X $\mathrm { A } = \left[ \begin{array} { r r r } 5 & 1 & - 4 \\ 5 & 0 & 0 \\ 1 & - 5 & 4 \end{array} \right]$

Multiple Choice

Solve the matrix equation for X.
-Let $\mathrm { A } = \left[ \begin{array} { r r r } 5 & 1 & - 4 \\ 5 & 0 & 0 \\ 1 & - 5 & 4 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { r r r } - 1 & - 5 & - 4 \\ 0 & 1 & 1 \\ 5 & 0 & 5 \end{array} \right] ; \quad 4 \mathrm {~B} - 4 \mathrm {~A} = \mathrm { X }$

A)
$$X = \left[ \begin{array} { r r r } - 24 & - 24 & 0 \\- 20 & 4 & 4 \\16 & 20 & 4\end{array} \right]$$
B)
$X = \left[ \begin{array} { r r r } - 20 & 4 & 4 \\ 16 & 20 & 4 \\ - 24 & - 24 & 0 \end{array} \right]$
C)
$X = \left[ \begin{array} { r r r } - 24 & - 24 & 0 \\ - 20 & 1 & 1 \\ 16 & 20 & 4 \end{array} \right]$
D)
$X = \left[ \begin{array} { r r r } - 20 & 1 & 1 \\ 16 & 20 & 4 \\ - 24 & - 24 & 0 \end{array} \right]$