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Linear Mapping Course

Linear Mapping Course
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.
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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