16. Perform the operation $B+B C$ with the given matrices:
\[
\begin{array}{l}
B=\left[\begin{array}{ccc}
-8 & 10 & 3 \\
6 & -5 & -3
\end{array}\right] \\
C=\left[\begin{array}{cc}
-5 & 10 \\
2 & -5
\end{array}\right]
\end{array}
\]
Answer
\(\boxed{\text{The operation } B+BC \text{ cannot be performed with the given matrices because the dimensions of } B \text{ and } C \text{ are not compatible for multiplication.}}\)
Step 1 ：Perform the operation $B+BC$ with the given matrices:
Step 2 ：Matrix B is \[\begin{bmatrix} -8 & 10 & 3 \\ 6 & -5 & -3 \end{bmatrix}\]
Step 3 ：Matrix C is \[\begin{bmatrix} -5 & 10 \\ 2 & -5 \end{bmatrix}\]
Step 4 ：The operation $B+BC$ cannot be performed with the given matrices because the dimensions of $B$ and $C$ are not compatible for multiplication.
Step 5 ：\(\boxed{\text{The operation } B+BC \text{ cannot be performed with the given matrices because the dimensions of } B \text{ and } C \text{ are not compatible for multiplication.}}\)
