Linear Mapping Course
Master linear transformations using concrete tools such as matrices, projections, rotations, kernels, rank-nullity theorem, and operators on polynomials. Develop geometric insight and precise notation to confidently tackle advanced mathematics and modelling problems.

4 to 360 hours flexible workload
valid certificate in your country
What will I learn?
This Linear Mapping Course provides a focused path to master linear transformations, covering formal definitions, linearity tests, and practical applications in R² and R³ including rotations, reflections, and projections. Gain confidence in kernels, images, rank, nullity, operators on polynomial spaces, alongside clear notation, matrix techniques, and precise solution writing for reliable outcomes.
Elevify advantages
Develop skills
- Master linear maps: test linearity, spot affine cases, avoid common traps.
- Work with R² and R³ 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 Rⁿ and polynomial spaces.
- Present linear algebra solutions clearly with rigorous notation and concise 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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