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 rigorous notation skills to tackle complex maths and modelling challenges confidently in real-world scenarios.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a clear pathway to mastering linear transformations, covering definitions, linearity tests, and applications in R² and R³ including rotations, reflections, and projections. Learners will gain expertise in kernels, images, rank, nullity, polynomial space operators, matrix techniques, and precise notation for accurate solutions.
Elevify advantages
Develop skills
- Master testing linear maps for linearity, identifying affine transformations, and dodging typical pitfalls.
- Construct matrices for rotations, reflections, and projections in R² and R³ efficiently.
- 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 precise notation and succinct 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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