Linear Mapping Course
Gain mastery over linear transformations using practical tools like matrices for 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. Learners will 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 for linearity, identifying affine maps, and dodging typical errors.
- Construct matrices quickly 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 to operators on R^n and polynomial vector spaces.
- Deliver clear linear algebra solutions with strict 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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