SOLUTION:
We are to simplify the given matris expression
[tex]-4\begin{bmatrix}{2} & {-3} & {} \\ {-1} & {6} & {} \\ {} & {} & {}\end{bmatrix}\text{ +}\begin{bmatrix}{2} & {} & {} \\ {-4} & {} & {} \\ {} & {} & \end{bmatrix}\text{ x }\begin{bmatrix}{} & {} & {} \\ {4} & {-5} & {} \\ {} & {} & {}\end{bmatrix}[/tex]
Multiply the first matrix by the scalar (-4)
[tex]\begin{gathered} \begin{bmatrix}{-8} & {12} & {} \\ {4} & {-24} & {} \\ {} & {} & {}\end{bmatrix}\text{ + }\begin{bmatrix}{2X4\text{ + (-4X-5)}} & {} & {} \\ {} & {} & {} \\ {} & {} & {}\end{bmatrix} \\ \\ \begin{bmatrix}{-8} & {12} & {} \\ {4} & {-24} & {} \\ {} & {} & {}\end{bmatrix}\text{ + \lbrack{}8 + 20\rbrack} \\ \\ \begin{bmatrix}{-8} & {12} & {} \\ {4} & {-24} & {} \\ {} & {} & {}\end{bmatrix}\text{ + \lbrack{}28\rbrack} \end{gathered}[/tex]
We can not simplify further than this because the two matices are of different orders.
The correct option is "simplifying the matrix is not possible".
