Linear Mapping Course
Dive into linear transformations using practical tools such as matrices, projections, rotations, kernels, rank-nullity theorem, and polynomial operators. Develop strong geometric understanding and exact notation to tackle complex math and modelling challenges confidently.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path to grasp linear transformations, covering definitions, linearity checks, and hands-on applications in R² and R³ like rotations, reflections, and projections. Gain skills in kernels, images, rank, nullity, polynomial operators, matrix techniques, and precise notation for solid results.
Elevify advantages
Develop skills
- Master linear maps by testing for linearity, identifying affine maps, and dodging pitfalls.
- Handle R² and R³ transformations by quickly constructing matrices for rotations, reflections, and projections.
- Calculate kernels, images, rank, and nullity, interpreting them as geometric subspaces.
- Apply matrices and basis changes to represent operators on R^n and polynomial spaces.
- Deliver clear linear algebra solutions with strict notation and brief 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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