natrices $A$ and $B$ shown below, find $-A-\frac{1}{3} B$
\[
A=\left[\begin{array}{cc}
5 & 6 \\
-5 & 2 \\
-6 & -2 \\
5 & 4
\end{array}\right] \quad B=\left[\begin{array}{cc}
36 & -3 \\
0 & 12 \\
-3 & -33 \\
-27 & -9
\end{array}\right]
\]

Answer

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Answer

The final answer is $ \boxed{\begin{array}{cc} -17 & -5 \\ 5 & -6 \\ 7 & 13 \\ 4 & -1 \end{array}} $

Steps

Step 1 ：Negate matrix $ A $ by multiplying each element by -1 to get $ -A $

Step 2 ：Divide each element of matrix $ B $ by 3 to get $ \frac{1}{3} B $

Step 3 ：Subtract $ \frac{1}{3} B $ from $ -A $ to get the final result

Step 4 ：The final answer is $ \boxed{\begin{array}{cc} -17 & -5 \\ 5 & -6 \\ 7 & 13 \\ 4 & -1 \end{array}} $