Multiply Matrices

-$$A = \left[ \begin{array} { r r r }
- 6 & 5 & - 3 \
- 7 & - 8 & - 5 \
- 2 & 2 & - 7
\end{array} \right] , B = \left[ \begin{array} { r r r }
1 & - 8 & - 1 \
5 & - 6 & 2 \
- 2 & 1 & 1
\end{array} \right]$$
A)
$$\left[ \begin{array} { r r r }
25 & 15 & 13 \
- 37 & 99 & - 14 \
22 & - 3 & - 1
\end{array} \right]$$
B)
$\left[\begin{array}{rrr}
25 & -37 & 22 \
15 & 99 & -3 \
13 & -14 & -1
\end{array}\right]$
C)

$$\left[ \begin{array} { r r r }
- 6 & 5 & - 3 \
- 7 & - 8 & - 5 \
- 2 & 2 & - 7 \
1 & - 8 & - 1 \
5 & - 6 & 2 \
- 2 & 1 & 1
\end{array} \right]$$
D)
$\left[\begin{array}{rrr}
-6 & -40 & 3 \
-35 & 48 & -10 \
4 & 2 & -7
\end{array}\right]$

Question

Multiply Matrices

-$$A = \left[ \begin{array} { r r r } 
- 6 & 5 & - 3 \
- 7 & - 8 & - 5 \
- 2 & 2 & - 7
\end{array} \right] , B = \left[ \begin{array} { r r r } 
1 & - 8 & - 1 \
5 & - 6 & 2 \
- 2 & 1 & 1
\end{array} \right]$$
A)
$$\left[ \begin{array} { r r r } 
25 & 15 & 13 \
- 37 & 99 & - 14 \
22 & - 3 & - 1
\end{array} \right]$$
B)
$\left[\begin{array}{rrr}
25 & -37 & 22 \
15 & 99 & -3 \
13 & -14 & -1
\end{array}\right]$
C)

$$\left[ \begin{array} { r r r } 
- 6 & 5 & - 3 \
- 7 & - 8 & - 5 \
- 2 & 2 & - 7 \
1 & - 8 & - 1 \
5 & - 6 & 2 \
- 2 & 1 & 1
\end{array} \right]$$
D)
$\left[\begin{array}{rrr}
-6 & -40 & 3 \
-35 & 48 & -10 \
4 & 2 & -7
\end{array}\right]$

Quizplus · Accepted Answer

To multiply matrices, we sum the products of the corresponding entries from the rows of the first matrix and the columns of the second matrix. The correct calculation results in the matrix given in option A.

Multiply Matrices - A) [251513−3799−1422−3−1]\left[ \begin{array} { r r r } 25 & 15 & 13 \\- 37 & 99 & - 14 \\22 & - 3 & - 1\end{array} \right]​25−3722​1599−3​13−14−1​​

Multiply Matrices

- A) $\left[ \begin{array} { r r r } 25 & 15 & 13 \\- 37 & 99 & - 14 \\22 & - 3 & - 1\end{array} \right]$