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 to tackle advanced math and modelling challenges confidently in real-world scenarios.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
This course provides a clear path to mastering linear transformations, covering definitions, linearity tests, and applications in R² and R³ including rotations, reflections, and projections. You'll gain skills in kernels, images, rank, nullity, polynomial operators, matrix techniques, and precise notation for solid results.
Elevify advantages
Develop skills
- Master testing linear maps, identifying affine maps, and dodging typical errors.
- Quickly construct matrices for rotations, reflections, and projections in R² and R³.
- Calculate kernels, images, rank, nullity, and view them as geometric spaces.
- Apply matrices and basis changes for operators on R^n and polynomials.
- 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 workloadWhat our students say
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