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

Answer

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Answer

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

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 $\begin{array}{cc} - 17 & - 5 \\ 5 & - 6 \\ 7 & 13 \\ 4 & - 1 \end{array}$