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 rigorous notation skills to confidently tackle advanced math and modelling challenges in higher dimensions.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
This course provides a structured journey to master linear transformations, covering definitions, linearity tests, applications in R² and R³ including rotations, reflections, and projections. Gain proficiency 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 transformations, and avoiding pitfalls.
- Construct matrices for rotations, reflections, and projections in R² and R³ efficiently.
- Calculate kernels, images, rank, nullity, and interpret as geometric subspaces.
- Apply matrices and basis changes for operators on R^n and polynomial spaces.
- Communicate 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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