A Level Further Maths, Core Pure 1, Chapter 7 · exam-style questions with mark schemes and worked solutions · shadows of past-paper questions and new questions in the style of Edexcel, Edexcel iAL, AQA, OCR A and MEI · the matrix of a linear transformation from the images of $\begin{pmatrix} 1 \\ 0 \end{pmatrix}$ and $\begin{pmatrix} 0 \\ 1 \end{pmatrix}$, reflections, rotations, enlargements and stretches, successive transformations ($P$ followed by $Q$ is $\mathbf{QP}$), $\det \mathbf{M}$ as the area or volume scale factor, rotations about the $x$-, $y$- and $z$-axes and reflections in the planes $x = 0$, $y = 0$ and $z = 0$, inverse transformations, invariant points, lines of invariant points and invariant lines $y = mx + c$