Given:
$$A = \left[ \begin{array} { l l l }
4 & 2 & 5 \
1 & 2 & 1
\end{array} \right] , B = \left[ \begin{array} { r r r }
5 & 5 & - 1 \
4 & 4 & 1
\end{array} \right] , C = \left[ \begin{array} { r r }
- 2 & - 1 \
3 & 1 \
- 2 & - 3
\end{array} \right]$$
determine $C A - C B$.
A) $\left[ \begin{array} { r r r } 5 & 8 & - 12 \ - 6 & - 11 & 18 \ 11 & 12 & - 12 \end{array} \right]$
B) $\left[ \begin{array} { r r r } 2 & - 9 & - 12 \ 3 & - 2 & 0 \end{array} \right]$
C) $\left[ \begin{array} { c c } - 19 & - 20 \ 0 & 1 \end{array} \right]$
D) $\left[ \begin{array} { r r } 2 & 3 \ - 9 & - 2 \ - 12 & 0 \end{array} \right]$
E) not possible

Question

Given:
$$A = \left[ \begin{array} { l l l } 
4 & 2 & 5 \
1 & 2 & 1
\end{array} \right] , B = \left[ \begin{array} { r r r } 
5 & 5 & - 1 \
4 & 4 & 1
\end{array} \right] , C = \left[ \begin{array} { r r } 
- 2 & - 1 \
3 & 1 \
- 2 & - 3
\end{array} \right]$$
determine $C A - C B$.
A) $\left[ \begin{array} { r r r } 5 & 8 & - 12 \ - 6 & - 11 & 18 \ 11 & 12 & - 12 \end{array} \right]$
B) $\left[ \begin{array} { r r r } 2 & - 9 & - 12 \ 3 & - 2 & 0 \end{array} \right]$
C) $\left[ \begin{array} { c c } - 19 & - 20 \ 0 & 1 \end{array} \right]$
D) $\left[ \begin{array} { r r } 2 & 3 \ - 9 & - 2 \ - 12 & 0 \end{array} \right]$
E) not possible

Quizplus · Accepted Answer

Matrix multiplication is not possible because the number of columns in matrices A and B (3) does not match the number of rows in matrix C (3).

Given Determine CA−CBC A - C BCA−CB A) [58−12−6−11181112−12]\left[ \begin{array} { r r r } 5 & 8 & - 12 \\ - 6 & - 11 & 18 \\ 11 & 12 & - 12 \end{array} \right]​5−611​8−1112​−1218−12​​

Given Determine $C A - C B$
A) $\left[ \begin{array} { r r r } 5 & 8 & - 12 \\ - 6 & - 11 & 18 \\ 11 & 12 & - 12 \end{array} \right]$