1. **Problem statement:** Find $2A - B$ where $A = \begin{bmatrix} 1 & 4 \\ 2 & 5 \\ 13 & 6 \end{bmatrix}$ and $B = \begin{bmatrix} -2 & -3 \\ -5 & 1 \\ 4 & 2 \end{bmatrix}$. 2. **Calculate $2A$:** $$2A = 2 \times \begin{bmatrix} 1 & 4 \\ 2 & 5 \\ 13 & 6 \end{bmatrix} = \begin{bmatrix} 2 & 8 \\ 4 & 10 \\ 26 & 12 \end{bmatrix}$$ 3. **Calculate $2A - B$ element-wise:** $$2A - B = \begin{bmatrix} 2 & 8 \\ 4 & 10 \\ 26 & 12 \end{bmatrix} - \begin{bmatrix} -2 & -3 \\ -5 & 1 \\ 4 & 2 \end{bmatrix} = \begin{bmatrix} 2 - (-2) & 8 - (-3) \\ 4 - (-5) & 10 - 1 \\ 26 - 4 & 12 - 2 \end{bmatrix}$$ $$= \begin{bmatrix} 4 & 11 \\ 9 & 9 \\ 22 & 10 \end{bmatrix}$$ **Final answer:** $$2A - B = \begin{bmatrix} 4 & 11 \\ 9 & 9 \\ 22 & 10 \end{bmatrix}$$