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LU-Decomposition of a Matrix - Linear Algebra Explained

Offered By: Wrath of Math via YouTube

Tags

Linear Algebra Courses Linear Systems Courses Matrix Factorization Courses Numerical Analysis Courses Gaussian Elimination Courses LU Decomposition Courses Computational Mathematics Courses

Course Description

Overview

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Explore LU-Decomposition, also known as LU-factorization, in this 21-minute video tutorial on linear algebra. Learn how to use this technique to solve nxn linear systems efficiently, especially when dealing with constant coefficient matrices and changing constant vectors. Follow a step-by-step guide on finding LU-decompositions, understand the theorem determining when it's possible to find them, and see practical applications in solving linear systems. Dive into examples demonstrating the LU-Decomposition method, including a detailed walkthrough of the process. Gain valuable insights into this important concept in linear algebra, enhancing your problem-solving skills for complex matrix operations.

Syllabus

Intro
Definition of LU-Decomposition of a Matrix
Use LU-Decomposition to Solve Linear System
Example of Solving a System with LU-Decomposition Method
When We can Find LU Decompositions
Example of finding an LU Decomposition
LU-Decomposition Step by Step
Step by Step Example of LU Decomposition
Conclusion


Taught by

Wrath of Math

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