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Linear Mapping Course

Linear Mapping Course
from 4 to 360h flexible workload
certificate valid 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, identifying affine transformations, and avoiding typical errors.
  • 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 for operators on R^n and polynomial spaces.
  • Communicate linear algebra solutions with precise notation and succinct 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 rich information.
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