YoVDO

PLU-Decomposition of a Matrix Explained - Linear Algebra

Offered By: Wrath of Math via YouTube

Tags

Linear Algebra Courses Linear Systems Courses Matrix Factorization Courses LU Decomposition Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the concept of PLU-Decomposition in matrix algebra through this 12-minute educational video. Learn why matrices requiring row swaps for row echelon form don't have LU-decompositions and how permuting rows leads to PLU factorization. Discover the process of multiplying by elementary matrices to achieve row swaps and understand how every square matrix has a PLU decomposition. Apply this knowledge to solve systems of linear equations using PLU factorization. Follow along with step-by-step explanations, from finding LU decompositions to implementing PLU factorization and solving linear systems. Gain valuable insights into this important topic in linear algebra, complementing your understanding of LU decompositions and enhancing your problem-solving skills in matrix operations.

Syllabus

Intro
PLU-Decompositions
How to Solve a Linear System
Solving a Linear System with PLU
Find LU Decomposition
The PLU Factorization
Solving
Conclusion


Taught by

Wrath of Math

Related Courses

Les coulisses des systèmes de recommandation
Université de Montréal via edX
Building Recommender Systems with Machine Learning and AI
Packt via Coursera
Building Recommendation Engines in Python
DataCamp
Building Recommendation Engines with PySpark
DataCamp
Unsupervised Learning in Python
DataCamp