A-Level Further Maths: Matrices and Linear Transformations Step by Step

Matrices are the point in Further Maths where a lot of method marks quietly slip away. A determinant is miscalculated, a transformation is applied in the wrong order, or an eigenvector is found but never interpreted.

This book covers matrices and linear transformations for Edexcel, AQA, OCR and CIE, with every intermediate step shown so you can see exactly where your own working goes wrong. It begins with matrix operations and types, determinants and the singularity test, and inverses by both the 2x2 shortcut and the 3x3 cofactor method. It then moves to 2D transformations, successive transformations and the reverse-order rule, and the key distinction between invariant points and invariant lines.