Find the product. $$\left[ \begin{array} { c }
3 \
- 6 \
- 9
\end{array} \right] \left[ \begin{array} { l l l }
5 & - 9 & - 5
\end{array} \right]$$
A) $\left[ \begin{array} { c c c }
3 & 9 & - 15 \
6 & 5 & 30 \
9 & 9 & 45
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
15 & - 27 & - 15 \
- 30 & 54 & - 30 \
- 15 & - 27 & 15
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
15 & - 27 & - 15 \
- 30 & 54 & 30 \
- 45 & 81 & 45
\end{array} \right]$
D) $\left[ \begin{array} { l l l }
15 & 54 & 45
\end{array} \right]$
E)114

Question

Find the product.   $$\left[ \begin{array} { c } 
3 \
- 6 \
- 9
\end{array} \right] \left[ \begin{array} { l l l } 
5 & - 9 & - 5
\end{array} \right]$$  
A) $\left[ \begin{array} { c c c } 
3 & 9 & - 15 \
6 & 5 & 30 \
9 & 9 & 45
\end{array} \right]$  
B) $\left[ \begin{array} { c c c } 
15 & - 27 & - 15 \
- 30 & 54 & - 30 \
- 15 & - 27 & 15
\end{array} \right]$  
C) $\left[ \begin{array} { c c c } 
15 & - 27 & - 15 \
- 30 & 54 & 30 \
- 45 & 81 & 45
\end{array} \right]$  
D) $\left[ \begin{array} { l l l } 
15 & 54 & 45
\end{array} \right]$  
E)114

Quizplus · Accepted Answer

The product of a column vector and a row vector is a matrix where each element is the product of the corresponding elements from the column and row vectors.

Find the Product [3−6−9][5−9−5]\left[ \begin{array} { c } 3 \\- 6 \\- 9\end{array} \right] \left[ \begin{array} { l l l } 5 & - 9 & - 5\end{array} \right]​3−6−9​​[5​−9​−5​]

Find the Product $\left[ \begin{array} { c } 3 \\- 6 \\- 9\end{array} \right] \left[ \begin{array} { l l l } 5 & - 9 & - 5\end{array} \right]$