Log in
Choose your language

Euclidean Space Course

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

What will I learn?

This course provides a clear pathway to mastering inner products, norms, angles, and distances in R^n, advancing to orthogonality, Gram-Schmidt process, and projections through practical numeric examples. Learners will describe subspaces, change coordinates, construct projection matrices, and use 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.
  • Calculate inner products, norms, and angles in R^n with strong geometric insight.
  • Construct and apply orthonormal bases using Gram-Schmidt and QR for robust proofs.
  • Use orthogonal projections and least squares to tackle real-world R^n challenges.
  • Evaluate numerical stability including conditioning, orthogonality loss, and reorthogonalisation.

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

I was just promoted to Intelligence Advisor for the Prison System, and the course from Elevify was crucial for me to be the chosen one.
EmersonPolice Investigator
The course was essential to meet the expectations of my boss and the company I work for.
SilviaNurse
Really great course. Lots of valuable information.
WiltonCivil Firefighter

FAQs

Who is Elevify? How does it work?

Do the courses come with a certificate?

Are the courses free?

What is the duration of the courses?

What are the courses like?

How do the courses work?

What is the duration of the courses?

What is the cost or price of the courses?

What is an online course and how does it work?

PDF Course