Question

If $A=\left[\begin{array}{ccc}1& -6& 2\\ 0& -1& 5\end{array}\right]$ and $B=\left[\begin{array}{c}2\\ 1\end{array}\right]$, then $AB$ equals

• A. Not possible to calculate
• B. $\left[\begin{array}{c}-8\\ 3\end{array}\right]$
• C. $\left[\begin{array}{ccc}2& -12& 2\\ 0& -2& 5\end{array}\right]$
• D. $\left[\begin{array}{ccc}2& 12& 4\\ 0& -2& -10\end{array}\right]$

Answer 1

The correct option is A Not possible to calculate

It is not possible to calculate $AB$ as the order of matrix $A$ is $2\times 3$ and matrix $B$ is in the form of $2\times 1$