Find $B A$ $A = \left[ \begin{array} { c c c }
- 9 & 2 & - 6 \
9 & 3 & - 2 \
0 & - 2 & 5
\end{array} \right] \quad B = \left[ \begin{array} { c c c }
9 & - 8 & 9 \
5 & 0 & 7 \
- 6 & - 7 & 0
\end{array} \right]$
A) $\left[ \begin{array} { c c c }
- 18 & 10 & - 15 \
4 & 3 & - 9 \
6 & 5 & 5
\end{array} \right]$
B) $\left[ \begin{array} { c c c }
18 & - 10 & 15 \
- 4 & - 3 & 9 \
- 6 & - 5 & - 5
\end{array} \right]$
C) $\left[ \begin{array} { c c c }
- 153 & - 24 & 7 \
- 45 & - 4 & 5 \
- 9 & - 33 & 50
\end{array} \right]$
D) $\left[ \begin{array} { c c c }
- 81 & - 16 & - 54 \
45 & 0 & - 14 \
0 & 14 & 0
\end{array} \right]$
E) $\left[ \begin{array} { r r r }
- 35 & 114 & - 67 \
108 & - 58 & 102 \
- 40 & - 35 & - 14
\end{array} \right]$

Question

Find $B A$ $A = \left[ \begin{array} { c c c } 
- 9 & 2 & - 6 \
9 & 3 & - 2 \
0 & - 2 & 5
\end{array} \right] \quad B = \left[ \begin{array} { c c c } 
9 & - 8 & 9 \
5 & 0 & 7 \
- 6 & - 7 & 0
\end{array} \right]$
A) $\left[ \begin{array} { c c c } 
- 18 & 10 & - 15 \
4 & 3 & - 9 \
6 & 5 & 5
\end{array} \right]$
B) $\left[ \begin{array} { c c c } 
18 & - 10 & 15 \
- 4 & - 3 & 9 \
- 6 & - 5 & - 5
\end{array} \right]$
C) $\left[ \begin{array} { c c c } 
- 153 & - 24 & 7 \
- 45 & - 4 & 5 \
- 9 & - 33 & 50
\end{array} \right]$
D) $\left[ \begin{array} { c c c } 
- 81 & - 16 & - 54 \
45 & 0 & - 14 \
0 & 14 & 0
\end{array} \right]$
E) $\left[ \begin{array} { r r r } 
- 35 & 114 & - 67 \
108 & - 58 & 102 \
- 40 & - 35 & - 14
\end{array} \right]$

Quizplus · Accepted Answer

Matrix multiplication is performed by taking the dot product of the rows of the first matrix with the columns of the second matrix. After calculating, option C is the correct result of the multiplication $BA$.

Find BAB ABA A) [−1810−1543−9655]\left[ \begin{array} { c c c } - 18 & 10 & - 15 \\4 & 3 & - 9 \\6 & 5 & 5\end{array} \right]​−1846​1035​−15−95​​

Find $B A$ A) $\left[ \begin{array} { c c c } - 18 & 10 & - 15 \\4 & 3 & - 9 \\6 & 5 & 5\end{array} \right]$