If $A=\begin{bmatrix} 9 & 1 \\ 7 & 8 \end{bmatrix} $, $B =\begin{bmatrix} 1 & 5 \\ 7 & 12 \end{bmatrix}$ find matrix C such that 5A + 3B + 2C is a null matrix.

Question

$(A)\; C = \begin{bmatrix} -24 & -10 \\ -28 & - 38 \end{bmatrix}$
$(B)\; C = \begin{bmatrix} 24 & -10 \\ -28 & - 38 \end{bmatrix}$
$(C)\; C = \begin{bmatrix} -24 & 10 \\ 28 & - 38 \end{bmatrix}$
$(D)\; C = \begin{bmatrix} 24 & -10 \\ 28 & 38 \end{bmatrix}$