Cambridge Exam Reference

Cambridge O-Level Mathematics D (4024/22/O/N/22 Q6) [4 Marks] The matrix $M$ is given by $M = \begin{bmatrix} 3 & -2 \\ 1 & 4 \end{bmatrix}$. (a) Find the determinant of $M$. (b) Find the inverse matrix $M^{-1}$. (c) Hence, solve the simultaneous equations: $$3x - 2y = 11$$ $$x + 4y = -1$$