Linear Mapping Course
Master linear transformations with concrete tools: matrices, projections, rotations, kernels, rank-nullity, and operators on polynomials. Build geometric insight and precise notation to solve advanced mathematics and modeling problems with confidence.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
The Linear Mapping Course gives you a focused path to master linear transformations, from formal definitions and tests for linearity to concrete work in R² and R³ with rotations, reflections, and projections. You will build confidence with kernels, images, rank and nullity, explore operators on polynomial spaces, and practice clear notation, matrix methods, and solution writing for precise, reliable results.
Elevify advantages
Develop skills
- Master linear maps: test linearity, spot affine cases, avoid common traps.
- Work with R^2, R^3 transforms: build rotation, reflection, projection matrices fast.
- Compute kernels, images, rank, nullity and interpret them as geometric subspaces.
- Use matrices and change of basis to represent operators on R^n and polynomial spaces.
- Present linear algebra solutions clearly with rigorous notation and concise proofs.
Suggested summary
Before starting, you can change the chapters and 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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