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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?

Gain expertise in linear transformations: formal definitions, linearity tests, applications in R² and R³ including rotations, reflections, projections. Master kernels, images, rank-nullity, polynomial operators, matrix representations, basis changes, and precise notation for reliable mathematical solutions.

Elevify advantages

Develop skills

  • Master testing linear maps and spotting affine traps.
  • Build matrices for rotations, reflections, projections in R² and R³.
  • Compute kernels, images, rank, nullity as geometric subspaces.
  • Represent operators using matrices and basis changes on R^n, polynomials.
  • Write clear linear algebra solutions with precise notation, 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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