The matrices are defined by $M = \begin{pmatrix}2 & 1 \\ 4 & 3\end{pmatrix}$, $N = (1\;\;2)$, and $P = \begin{pmatrix}4 \\ 1\end{pmatrix}$.
(a(i))[4]
For the calculations below, write a tick (✓) if it can be done, or a cross (\times) if it cannot be done. You do not need to evaluate any of them.
(a(ii))[1]
Calculate $\begin{pmatrix}1 \\ 2\end{pmatrix} + P$.
(a(iii))[2]
Calculate $PN$.
(a(iv))[2]
Calculate $M^{-1}$.
(b)[3]
Describe fully the single transformation shown by the matrix $\begin{pmatrix}0 & -1 \\ 1 & 0\end{pmatrix}$.
Worked solution & mark scheme
This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The correct truth values have been chosen” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI