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 maths and modelling challenges confidently in everyday applications.

flexible workload from 4 to 360h
valid certificate in your country
What will I learn?
This course provides a clear path to grasp linear transformations, covering definitions, linearity checks, and 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 testing linear maps, identifying affine maps, and dodging typical errors.
- Construct matrices for rotations, reflections, and projections in R² and R³ quickly.
- Calculate kernels, images, rank, nullity, and view them as geometric spaces.
- Apply matrices and basis changes for operators on R^n and polynomials.
- Write clear linear algebra solutions with proper 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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