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Linear Mapping Course

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

What will I learn?

Explore linear transformations through definitions, linearity verification, and practical applications in R² and R³ with rotations, reflections, projections. Master kernels, images, rank, nullity, matrix techniques, basis changes, and polynomial operators, emphasizing precise notation for reliable mathematical solutions.

Elevify advantages

Develop skills

  • Master testing linearity in maps and identify affine transformations accurately.
  • Construct matrices for rotations, reflections, and projections in R² and R³ efficiently.
  • Calculate kernels, images, rank, and nullity, interpreting them geometrically.
  • Apply matrices and basis changes to operators on R^n and polynomial spaces.
  • Communicate linear algebra solutions with precise notation and 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.
Workload: between 4 and 360 hours

What our students say

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Great course. Lots of valuable information.
WiltonCivil Firefighter

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