Given $A = \left[ \begin{array} { c c c }
6 & 2 & 0 \
10 & 0 & - 1
\end{array} \right]$ , $B = \left[ \begin{array} { c c }
0 & - 3 \
1 & 0 \
- 1 & 3
\end{array} \right]$ and $C = \left[ \begin{array} { c }
0 \
2 \
- 3
\end{array} \right]$ , determine which of $A B C$ , $A C B$ , $B A C$ , $B C A$ , $C A B$ and $C B A$ are defined, and calculate them.

Question

Given $A = \left[ \begin{array} { c c c } 
6 & 2 & 0 \
10 & 0 & - 1
\end{array} \right]$ , $B = \left[ \begin{array} { c c } 
0 & - 3 \
1 & 0 \
- 1 & 3
\end{array} \right]$ and $C = \left[ \begin{array} { c } 
0 \
2 \
- 3
\end{array} \right]$ , determine which of $A B C$ , $A C B$ , $B A C$ , $B C A$ , $C A B$ and $C B A$ are defined, and calculate them.

Quizplus · Accepted Answer

The Answer of Given $A = \left[ \begin{array} { c c c } 
6 & 2 & 0 \
10 & 0 & - 1
\end{array} \right]$ , $B = \left[ \begin{array} { c c } 
0 & - 3 \
1 & 0 \
- 1 & 3
\end{array} \right]$ and $C = \left[ \begin{array} { c } 
0 \
2 \
- 3
\end{array} \right]$ , determine which of $A B C$ , $A C B$ , $B A C$ , $B C A$ , $C A B$ and $C B A$ are defined, and calculate them.

Given A=[620100−1]A = \left[ \begin{array} { c c c } 6 & 2 & 0 \\10 & 0 & - 1\end{array} \right]A=[610​20​0−1​]

Given $A = \left[ \begin{array} { c c c } 6 & 2 & 0 \\10 & 0 & - 1\end{array} \right]$