Answer:
Option C
Step-by-step 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.
[tex]-4A+8B=-4\times\left[\begin{array}{ccc}-4&-4&1\\1&4&7\\2&3&3\end{array}\right] +8\times\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][/tex]
Therefore, option C gives the correct answer.
