(a) Given

\(A=\begin{pmatrix}3&1\\-1&2\\4&5\end{pmatrix},\qquad B=\begin{pmatrix}1&-2\\3&0\end{pmatrix}, \qquad C=AB,\)

(i) state the order of \(A\), (ii) find \(C\).

(b) The matrix

\(X=\begin{pmatrix}5&-12\\4&-7\end{pmatrix}.\)

(i) Find \(X^{-1}\).

(ii) Using \(X^{-1}\), find the coordinates of the point of intersection of the lines \(12y=5x-26\) and \(7y=4x-52\).