Matrices
Section overview:
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.
CP1-Chp6-Matrices.pptxCP1-Chp7-LinearTransformations.pptxNotes:
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
Summary questions:
Topic assessment 1 (with solutions) - Matrices and transformations
Topic assessment 2 (with solutions) - Matrices and their inverses
Extra resources:
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...