Linear Mapping Course
This course builds mastery in linear transformations through hands-on work with matrices for rotations, reflections, projections in R² and R³. Learners compute kernels, images, rank-nullity, apply operators to polynomial spaces, and develop geometric insight plus rigorous notation for solving advanced math and modeling challenges confidently.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain expertise in linear transformations: formal definitions, linearity tests, applications in R² and R³ including rotations, reflections, projections. Master kernels, images, rank-nullity, polynomial operators, matrix representations, basis changes, and precise notation for reliable mathematical solutions.
Elevify advantages
Develop skills
- Master testing linear maps and spotting affine traps.
- Build matrices for rotations, reflections, projections in R² and R³.
- Compute kernels, images, rank, nullity as geometric subspaces.
- Represent operators using matrices and basis changes on R^n, polynomials.
- Write clear linear algebra solutions with precise notation, 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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