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Euclidean Space Course

Euclidean Space Course
flexible workload from 4 to 360h
valid certificate in your country

What will I learn?

Gain mastery in Euclidean space through inner products, norms, angles, and distances in R^n. Progress to orthogonality, Gram-Schmidt, and projections with practical numeric examples. Learn to handle subspaces, coordinate changes, projection matrices, and QR factorisation for accurate computations in high dimensions.

Elevify advantages

Develop skills

  • Master subspaces in R^n by switching between span, basis, and linear equations.
  • Compute inner products, norms, and angles in R^n with clear geometric understanding.
  • Build and apply orthonormal bases using Gram-Schmidt and QR for solid proofs.
  • Use orthogonal projections and least squares to tackle real R^n challenges.
  • Evaluate numerical stability including conditioning, orthogonality loss, and reorthogonalization.

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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EmersonPolice Investigator
The course was essential to meet the expectations of my boss and the company where I work.
SilviaNurse
Very great course. Lots of valuable information.
WiltonCivil Firefighter

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