Answer:
Option C
Explanation:
We are given two matrices A and B and we have to calculate the value of the expression -4A + 8B. Each element of matrix A will be multiplied by -4 and each element of matrix B will be multiplied by 8. The corresponding elements of the resulting matrices will be added.
![-4A+8B=-4*\left[\begin{array}{ccc}-4&-4&1\\1&4&7\\2&3&3\end{array}\right] +8*\left[\begin{array}{ccc}2&9&-9\\8&8&-2\\4&10&1\end{array}\right] \\\\\\ -4A+8B=\left[\begin{array}{ccc}16&16&-4\\-4&-16&-28\\-8&-12&-12\end{array}\right] +\left[\begin{array}{ccc}16&72&-72\\64&64&-16\\32&80&8\end{array}\right]\\\\ \\ -4A+8B=\left[\begin{array}{ccc}32&88&-76\\60&48&-44\\24&68&-4\end{array}\right]](https://img.qammunity.org/2020/formulas/mathematics/high-school/mql9396najmfybd6j43wiv2g5o97uy0bvn.png)
Therefore, option C gives the correct answer.