Linear Mapping Course
Dive into linear transformations using practical tools like matrices for projections, rotations, kernels, rank-nullity theorem, and polynomial operators. Develop strong geometric understanding and rigorous notation skills to confidently tackle advanced maths and modelling challenges in a structured New Zealand-style learning approach.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This course provides a clear pathway to mastering linear transformations, covering definitions, linearity tests, and applications in R² and R³ including rotations, reflections, and projections. Gain expertise in kernels, images, rank, nullity, polynomial space operators, matrix techniques, and precise notation for accurate solutions.
Elevify advantages
Develop skills
- Master testing linear maps, identifying affine maps, and dodging typical pitfalls.
- Construct matrices swiftly for rotations, reflections, and projections in R² and R³.
- Calculate kernels, images, rank, nullity, and link them to geometric subspaces.
- Apply matrices and basis changes for operators on R^n and polynomial spaces.
- Deliver clear linear algebra solutions with precise notation and succinct proofs.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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