The PowerPoint below provides an overview of material in this topic, including explanations and examples - for the full experience, open in a new tab then download it. All exercise references are to the new specification Pearson textbook - you can access the digital version for free or buy your own for extra practice.Â
Written summary notes are also given below for quick revision of key points, plus a selection of exam-style questions (with solutions) to test your understanding.
Section 1 Notes - Matrix operations (inc multiplication) and the identity matrix
Section 2 Notes - Linear transformations (2D and 3D)
Section 3 Notes - 2x2 determinants and inverses
Section 4 Notes - Invariance
Section 5 Notes - 3x3 determinants and inverses
Section 6 Notes - Simultaneous equations and geometry
Topic assessment 1 (with solutions) - Matrices and transformations
Topic assessment 2 (with solutions) - Matrices and their inverses
Use the videos below to support your understanding of the topic. The ones on the left are specific to the course, building up to demos of exam-style questions; the ones on the right are for your own amusement, although the alternative outlook may provide you with a deeper overall understanding and appreciation of the topic.
Topic videos:
Extra fun! Yes, but why?
A nice video taking us through complex numbers, matrices, quantum mechanics, group theory and string theory...