Given that

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

find

(a)(i) \(A+3C\),

(a)(ii) \(BA\).

(b)(i) Given that

\(X=\begin{pmatrix}1&-3\\4&-2\end{pmatrix},\)

find \(X^{-1}\).

(b)(ii) Hence find \(Y\), such that

\(XY=\begin{pmatrix}5&-10\\15&20\end{pmatrix}.\)