Solution MO.C10 Chris Black

1. $A + B = \begin{bmatrix} 4 & 6 & -2 \\ 4 & -3 & 5 \end{bmatrix}$
2. $A + C$ is undefined; $A$ and $C$ are not the same size.
3. $\transpose{B} + C = \begin{bmatrix} 5 & 2 \\ 6 & -6 \\ -1 & 7 \end{bmatrix}$
4. $A + \transpose{B}$ is undefined; $A$ and $\transpose{B}$ are not the same size.
5. $\beta C = \begin{bmatrix} 1 & 2 \\ 2 & 0 \\ -1 & 1 \end{bmatrix}$
6. $4A - 3B = \begin{bmatrix} -5 & 10 & -15\\ 30 & 30 & -15 \end{bmatrix}$
7. $\transpose{A} + \alpha C = \begin{bmatrix} 9 & 22 \\ 20 & 3\\ -11 & 8 \end{bmatrix}$
8. $A + B - \transpose{C} = \begin{bmatrix} 2 & 2 & 0\\ 0 & -3 & 3\end{bmatrix}$
9. $4A + 2B - 5\transpose{C} = \begin{bmatrix} 0 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}$