If $A = \begin{bmatrix}3 & -1 \\ 2 & 4\end{bmatrix}$ and $B = \begin{bmatrix}1 & 2 \\ 0 & -1\end{bmatrix}$, what is $2A - 3B$?

Explanation

1. 01

   Multiply each matrix by its scalar, element by element: $2A = \begin{bmatrix} 6 & -2 \\ 4 & 8 \end{bmatrix}$, $3B = \begin{bmatrix} 3 & 6 \\ 0 & -3 \end{bmatrix}$.

2. 02

   Subtract: $\begin{bmatrix}3 & -8 \\ 4 & 11\end{bmatrix}$.