Compute the product or state that it is undefined.
-$$\left[ \begin{array} { r r }
- 1 & 3 \
- 8 & - 5 \
- 6 & - 8
\end{array} \right] \left[ \begin{array} { r }
3 \
- 1
\end{array} \right]$$
A)
$\left[ \begin{array} { r } - 6 \ - 19 \ - 10 \end{array} \right]$

B) Undefined
C)
$\left[ \begin{array} { r r } - 3 & - 3 \ - 24 & 5 \ - 18 & 8 \end{array} \right]$

D)
$\left[ \begin{array} { r r } - 3 & 8 \ 9 & 5 \ - 6 & - 8 \end{array} \right]$

Question

Compute the product or state that it is undefined.
-$$\left[ \begin{array} { r r } 
- 1 & 3 \
- 8 & - 5 \
- 6 & - 8
\end{array} \right] \left[ \begin{array} { r } 
3 \
- 1
\end{array} \right]$$
A)
$\left[ \begin{array} { r } - 6 \ - 19 \ - 10 \end{array} \right]$

B) Undefined
C)
$\left[ \begin{array} { r r } - 3 & - 3 \ - 24 & 5 \ - 18 & 8 \end{array} \right]$

D)
$\left[ \begin{array} { r r } - 3 & 8 \ 9 & 5 \ - 6 & - 8 \end{array} \right]$

Quizplus · Accepted Answer

The product of a $3 \times 2$ matrix and a $2 \times 1$ matrix is defined and results in a $3 \times 1$ matrix. The correct product is calculated by multiplying each row of the first matrix by the corresponding column of the second matrix, leading to the result in option A.

Compute the Product or State That It Is Undefined [−13−8−5−6−8][3−1]\left[ \begin{array} { r r } - 1 & 3 \\- 8 & - 5 \\- 6 & - 8\end{array} \right] \left[ \begin{array} { r } 3 \\- 1\end{array} \right]​−1−8−6​3−5−8​​[3−1​]

Compute the Product or State That It Is Undefined $\left[ \begin{array} { r r } - 1 & 3 \\- 8 & - 5 \\- 6 & - 8\end{array} \right] \left[ \begin{array} { r } 3 \\- 1\end{array} \right]$