What you need to know
Check yourself against these “I can” statements.
- I can multiply a 2 × 2 matrix by a number, by a 2 × 1 matrix and by another 2 × 2 matrix (Further Maths)
- I can use the 2 × 2 identity matrix, I (Further Maths)
- I can find where the unit square goes under a 2 × 2 matrix (Further Maths)
- I can describe rotations, reflections and enlargements about the origin using matrices (Further Maths)
- I can combine transformations by multiplying matrices (Further Maths)
Practise this topic
8 resourcesLinear Transformations
Reflections in y = 0, x = 0, y = x and y = −x, rotations of multiples of 90°, stretches and enlargements, all about the origin. Describe the transformation from its matrix, write down the matrix, read both from a diagram, combine…
⚙️ WorksheetMatrices
Adding scalar multiples, multiplying 2 × 2 and other sizes, squaring, two operations with A, B and C, then an unknown anywhere in a product, and two unknowns needing simultaneous equations. Seven levels, timed, click to reveal.
🔤 Fill the GapsFill the Gaps: Maths Vocabulary
A sentence explaining one of the unit’s key words, with gaps. Pick the right word for each gap from the words scattered round it: the right ones and plenty of wrong ones. A deck for every unit.
⬢ BlockbustersLinear Transformations Blockbusters
Blockbusters with the questions from the Linear Transformations worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple…
⬢ BlockbustersMatrices Blockbusters
Blockbusters with the questions from the Matrices worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the computer with multiple choice.
🕹️ Topic gameMatrix Mini Golf
Eighteen holes of top-down mini golf: aim the golfer, then stop the swinging power bar. KS3 turns by angles; AQA FM uses rotation matrices with 90° turns; A Level adds 45° (1/√2); Advanced takes any angle to 2 d.p. The last six…
🧩 ConnectionsMatrix Transformations
Each group is one transformation about the origin: its description, its 2×2 matrix and two ways of building it from two steps, as a product of two matrices or as “X, then Y” in words. Easy: reflections and rotations; Standard…
🔗 MatchingMatrix Transformations: Matching
Twelve diagrams of a triangle and its image: reflections in the axes and y = ±x, rotations of 90°, 180° and 270°, enlargements and stretches with different factors each way. Match the matrix (Easy), the matrix and the description…
These are the pages for Matrices in the GCSE + AQA Further Maths scheme of work, following Pearson Edexcel GCSE (9–1) Higher (1MA1), plus AQA Level 2 Further Mathematics (8365). Open this topic in Mr Wells Maths to see it alongside the rest of the course.