Answer:
C
Step-by-step explanation:
You are given two matrices A and B.
1. Find 2A by multiplying each element of A by 2:
[tex]2A=2\cdot \left(\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right)=\left(\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right)[/tex]
2. Find 4B by multiplying each element of B by 4:
[tex]4B=4\cdot \left(\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right)=\left(\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right)[/tex]
3. Subtract two matrices 2A and 4B (from each element of matrix 2A subtract corresponding element of matrix 4B)
[tex]2A-4B=\left(\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right)-\left(\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right)=\left(\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right)[/tex]
