Answer
$\begin{bmatrix}
5&14\\
9&16
\end{bmatrix}$
Work Step by Step
To Find: $\begin{bmatrix}1&2&3\\0&-1&4\end{bmatrix}\begin{bmatrix}1&2\\-1&0\\2&4\end{bmatrix}$
Let the resulting matrix be $M$.
$\implies M_{1,1} = (1)(1)+(2)(-1)+(3)(2) = 5$
$\implies M_{1,2} = (1)(2)+(2)(0)+(3)(4) = 14$
$\implies M_{2,1} = (0)(1)+(-1)(-1)+(4)(2) = 9$
$\implies M_{2,2} = (0)(2)+(-1)(0)+(4)(4) = 16$
$\therefore M = \begin{bmatrix}
5&14\\
9&16
\end{bmatrix}$
