Given the matrices $A = \begin{pmatrix} 2 & 1 \\ 3 & 4 \end{pmatrix}$ and $B = \begin{pmatrix} 1 & 0 \\ 2 & -1 \end{pmatrix}$: (a) Find the matrix product $AB$. (4 marks) (b) Find the determinant of $A$ and hence $A^{-1}$. (5 marks) (c) Use $A^{-1}$ to solve the simultaneous equations $2x + y = 5$ and $3x + 4y = 10$. (6 marks)