If $A = \begin{bmatrix}2 & 1 \\ 0 & -3\end{bmatrix}$ and $B = \begin{bmatrix}1 & 4 \\ -2 & 5\end{bmatrix}$, what is $2A + B$?

Explanation

1. 01

   Scale first: $2A = \begin{bmatrix}4 & 2 \\ 0 & -6\end{bmatrix}$ and $1B = \begin{bmatrix}1 & 4 \\ -2 & 5\end{bmatrix}$.

2. 02

   Then add the corresponding elements: $\begin{bmatrix}5 & 6 \\ -2 & -1\end{bmatrix}$.