Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

The matrices are $P = \begin{pmatrix}3 & 1\\2 & 3\end{pmatrix}$ and $Q = \begin{pmatrix}1 & 2\\-1 & 4\end{pmatrix}$.

(a)[1]

Calculate $3P$.

(b)[2]

Calculate $PQ$.

(c)[2]

Calculate $Q^{-1}$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “So, $\begin{pmatrix}9&3\\6&9\end{pmatrix}$.” …