Linear Mapping Course
Dive into linear transformations using practical tools like matrices, projections, rotations, kernels, rank-nullity theorem, and polynomial operators. Develop strong geometric understanding and exact notation skills to confidently tackle complex maths and modelling challenges in advanced studies.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course offers a structured journey to excel in linear transformations, covering definitions, linearity checks, applications in R² and R³ including rotations, reflections, and projections. Gain expertise in kernels, images, rank, nullity, polynomial space operators, alongside matrix techniques and precise notation for accurate outcomes.
Elevify advantages
Develop skills
- Master testing linear maps, identifying affine transformations, and dodging frequent errors.
- Construct matrices for rotations, reflections, and projections in R² and R³ efficiently.
- Calculate kernels, images, rank, nullity, and analyse them as geometric subspaces.
- Apply matrices and basis changes for operators on R^n and polynomial spaces.
- Deliver clear linear algebra solutions with strict notation and brief 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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