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 exact notation to confidently tackle advanced maths and modelling challenges in real-world scenarios.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a clear path to mastering linear transformations, covering definitions, linearity tests, and applications in R² and R³ including rotations, reflections, and projections. Gain skills in kernels, images, rank, nullity, polynomial operators, matrix techniques, and precise notation for reliable mathematical solutions.
Elevify advantages
Develop skills
- Master testing linear maps, identifying affine transformations, and dodging typical errors.
- Quickly construct matrices for rotations, reflections, and projections in R² and R³.
- Calculate kernels, images, rank, and nullity, interpreting them as geometric spaces.
- Apply matrices and basis changes for 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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