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Linear Mapping Course

Linear Mapping Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

The Linear Mapping Course gives you a focused path to master linear transformations, from formal definitions and tests for linearity to concrete work in R² and R³ with rotations, reflections, and projections. You will build confidence with kernels, images, rank and nullity, explore operators on polynomial spaces, and practice clear notation, matrix methods, and solution writing for precise, reliable results.

Elevify advantages

Develop skills

  • Master linear maps: test linearity, spot affine cases, avoid common traps.
  • Work with R^2, R^3 transforms: build rotation, reflection, projection matrices fast.
  • Compute kernels, images, rank, nullity and interpret them as geometric subspaces.
  • Use matrices and change of basis to represent operators on R^n and polynomial spaces.
  • Present linear algebra solutions clearly with rigorous notation and concise 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.
Workload: between 4 and 360 hours

What our students say

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Very great course. Lots of valuable information.
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