LU Decomposition Example | Numerical Methods

Let’s solve a LU Decomposition Example! LU Decomposition / LU Factorization essentially allows us to solve a matrix a single time and apply the scaling factors to any possible constant vector that the matrix could equal. Therefore, LU Decomposition can save us large amounts of time it can also allow us to easily find the determinant of the matrix!

This timeline is meant to help you better understand How to solve a matrix using LU decomposition / LU Factorization: 0:00 Introduction 0:18 Solving LU Decomposition Example 4:26 Outro

Relevant Numerical Methods Playlists: Numerical Methods Playlist: https://www.youtube.com/watch?v=F2NWYEOHIkc&list=PLDea8VeK4MUTOBXLpvx_WKtVrMkojEh52 Numerical Methods Examples Playlist: https://www.youtube.com/watch?v=UA7bzwCwHMI&list=PLDea8VeK4MUTxZGOTG-VNnW4T3TYwlEc9

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This video is part of our Numerical Methods course. Numerical methods is about solving math problems through approximating the solution of problems that would be difficult or impossible to solve analytically. In this playlist we will cover topics such as solving systems of linear equations, solving systems of non-linear equations, numerical integration, numerical derivatives, etc.. #Studysession #LUdecomposition #LUFactorization ... https://www.youtube.com/watch?v=KbYSqIkkCTY