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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, applications in R² and R³ including rotations, reflections, and projections. Learners 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 dodging typical errors.
  • Construct matrices for rotations, reflections, and projections in R² and R³ efficiently.
  • Calculate kernels, images, rank, nullity, and link them to geometric concepts.
  • Apply matrices and basis changes for operators in R^n and polynomial spaces.
  • Deliver clear linear algebra solutions using strict notation and brief 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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Great course. Lots of valuable information.
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