A) AB
B) \[BA\]
C) \[(AB)\,\text{. }C\]
D) \[(AC)\,.\,B\]
Correct Answer: B
Solution :
\[BA={{\left[ \begin{align} & 2 \\ & 3 \\ & 4 \\ \end{align} \right]}_{3\times 1}}\,{{[1\,\,2\,\,3]}_{1\times 3}}\]\[={{\left[ \begin{matrix} 2 & 4 & 6 \\ 3 & 6 & 9 \\ 4 & 8 & 12 \\ \end{matrix} \right]}_{3\times 3}}\] \[AB={{[1\,2\,3]}_{1\times 3}}{{\left[ \begin{align} & 2 \\ & 3 \\ & 4 \\ \end{align} \right]}_{3\times 1}}={{[20]}_{1\times 1}}\]. So, AB and BA are defined.
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