Wherever possible, write each of the following as a single matrix.

(i) $\begin{bmatrix} 1 & 2 \ 3 & 4 \end{bmatrix} + \begin{bmatrix} -1 & -2 \ 1 & -7 \end{bmatrix}$

(ii) $\begin{bmatrix} 2 & 3 & 4 \ 5 & 6 & 7 \end{bmatrix} - \begin{bmatrix} 0 & 2 & 3 \ 6 & -1 & 0 \end{bmatrix}$

(iii) $\begin{bmatrix} 0 & 1 & 2 \ 4 & 6 & 7 \end{bmatrix} + \begin{bmatrix} 3 & 4 \ 6 & 8 \end{bmatrix}$

Find, x and y from the following equations :

$\begin{bmatrix} 5 & 2 \ -1 & y - 1 \end{bmatrix} - \begin{bmatrix} 1 & x - 1 \ 2 & -3 \end{bmatrix} = \begin{bmatrix} 4 & 7 \ -3 & 2 \end{bmatrix}$

Given : M = $\begin{bmatrix} 5 & -3 \ -2 & 4 \end{bmatrix}$, find its transpose matrix M^t. If possible, find :

(i) M + M^t

(ii) M^t - M

Given A = $\begin{bmatrix} 2 & -3 \end{bmatrix}, B = \begin{bmatrix} 0 & 2 \end{bmatrix} \text{ and C} = \begin{bmatrix} -1 & 4 \end{bmatrix};$ find the matrix X in each of the following :

(i) X + B = C - A

(ii) A - X = B + C