Find the product. $$\left[ \begin{array} { l l }
9 & 3 \
7 & 8
\end{array} \right] \left[ \begin{array} { l l }
8 & 7 \
8 & 4
\end{array} \right]$$
A) $$\left[ \begin{array} { c c }
72 & 75 \
120 & 81
\end{array} \right]$$
B) $$\left[ \begin{array} { l l }
72 & 21 \
56 & 32
\end{array} \right]$$
C) $$\left[ \begin{array} { l l }
96 & 75 \
56 & 32
\end{array} \right]$$
D) $$\left[ \begin{array} { c c }
96 & 75 \
120 & 81
\end{array} \right]$$
E)cannot multiply

Question

Find the product.​ $$\left[ \begin{array} { l l } 
9 & 3 \
7 & 8
\end{array} \right] \left[ \begin{array} { l l } 
8 & 7 \
8 & 4
\end{array} \right]$$ ​
A) $$\left[ \begin{array} { c c } 
72 & 75 \
120 & 81
\end{array} \right]$$ ​
B) $$\left[ \begin{array} { l l } 
72 & 21 \
56 & 32
\end{array} \right]$$ ​
C) $$\left[ \begin{array} { l l } 
96 & 75 \
56 & 32
\end{array} \right]$$ ​
D) $$\left[ \begin{array} { c c } 
96 & 75 \
120 & 81
\end{array} \right]$$ ​
E)cannot multiply ​

Quizplus · Accepted Answer

To multiply two matrices, we multiply each row of the first matrix by each column of the second matrix and sum the products. For this problem, the calculations are as follows:- For the top-left element: (9*8) + (3*8) = 72 + 24 = 96- For the top-right element: (9*7) + (3*4) = 63 + 12 = 75- For the bottom-left element: (7*8) + (8*8) = 56 + 64 = 120- For the bottom-right element: (7*7) + (8*4) = 49 + 32 = 81Thus, the product matrix is $\left[ \begin{array} { c c } 96 & 75 \ 120 & 81 \end{array} \right]$.

Find the Product [9378][8784]\left[ \begin{array} { l l } 9 & 3 \\7 & 8\end{array} \right] \left[ \begin{array} { l l } 8 & 7 \\8 & 4\end{array} \right][97​38​][88​74​]

Find the Product $\left[ \begin{array} { l l } 9 & 3 \\7 & 8\end{array} \right] \left[ \begin{array} { l l } 8 & 7 \\8 & 4\end{array} \right]$