Log in
Choose your language

Euclidean Space Course

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

What will I learn?

This course provides a clear path to mastering inner products, norms, angles, and distances in R^n, advancing to orthogonality, Gram-Schmidt process, and projections with practical numeric examples. Learners will describe subspaces, change coordinates, construct projection matrices, and use QR factorization for accurate computations in high dimensions.

Elevify advantages

Develop skills

  • Master subspaces in R^n by swiftly handling spans, bases, and linear equations.
  • Calculate inner products, norms, and angles in R^n using geometric principles.
  • Construct and apply orthonormal bases with Gram-Schmidt and QR for robust solutions.
  • Use orthogonal projections and least squares to tackle real R^n challenges.
  • Evaluate numerical stability including conditioning, orthogonality preservation, 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

I was just promoted to Intelligence Advisor of 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 where I work.
SilviaNurse
Very great course. Lots of rich information.
WiltonCivil Firefighter

FAQs

Who is Elevify? How does it work?

Do the courses have certificates?

Are the courses free?

What is the course workload?

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 EAD or online course and how does it work?

PDF Course