Let $A = \begin{bmatrix} 1 & 4 & -3 \\ 6 & 3 & 0\end{bmatrix}$, $B = \begin{bmatrix} 3 & 2 & 1 \\ -2 & -6 & 5\end{bmatrix}$ and $C = \begin{bmatrix} 2 & 4 \\ 4 & 0 \\ -2 & 2\end{bmatrix}$. Let $\alpha = 4$ and $\beta = 1/2$. Perform the following calculations: (1) $A + B$, (2) $A + C$, (3) $\transpose{B} + C$, (4) $A + \transpose{B}$, (5) $\beta C$, (6) $4A - 3B$, (7) $\transpose{A} + \alpha C$, (8) $A + B - \transpose{C}$, (9) $4A + 2B - 5\transpose{C}$.