Gram-Schmidt Process: Step-by-Step Guide with MATLAB code (Modified Gram-Schmidt as bonus!) скачать в хорошем качестве

Gram-Schmidt Process: Step-by-Step Guide with MATLAB code (Modified Gram-Schmidt as bonus!)

The Gram-Schmidt Process is a fundamental technique in linear algebra used to transform a set of linearly independent vectors into an orthonormal basis. In this video, we break down the step-by-step process of Gram-Schmidt orthonormalization, along with practical demonstrations using MATLAB. What You’ll Learn in This Video: ✅ Step-by-Step Explanation – Learn how to convert a set of vectors into an orthonormal basis. ✅ MATLAB Implementation – See how to perform the Gram-Schmidt process programmatically. 🔗 Download the MATLAB Code: https://github.com/Numerically-Stable... 📌 Who is this video for? *Students learning linear algebra *Researchers working with orthonormalization techniques *Engineers using MATLAB for numerical methods *Anyone interested in computational mathematics 📢 Stay Connected! 🔹 LinkedIn:   / pranjal-saxena-9608197819   🎥 Animations created using Manim Library (by ‪@3blue1brown‬ – Learn more: Manim Community) Watch now and master the Gram-Schmidt Process for your next computational project! 🚀 Chapters 00:00 Introduction 00:54 Vector space and independent vectors 01:49 Dot product and projection 02:50 Visualizing Gram-Schmidt in 2D 03:47 Visualizing Gram-Schmidt in 3D 05:20 Algorithms and MATLAB code 06:32 Conclusion