Linear Algebra - Lecture 24 - Elementary Matrices and Inverses
In this video, we will discuss elementary matrices and their relationship to invertible matrices. We will prove a theorem that explains how to tell when a matrix is invertible, and how to find the inverse of an invertible matrix.

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4. Factorization into A = LU
![MOST IMPORTANT LINEAR ALGEBRA VIDEO - Invertible Matrix Theorem ON ROIDS [Passing Linear Algebra]](https://i.ytimg.com/vi/P74M9suLIEU/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDj4P5Sxwdk5fk6vjj34qHhnPdDEQ)
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MOST IMPORTANT LINEAR ALGEBRA VIDEO - Invertible Matrix Theorem ON ROIDS [Passing Linear Algebra]

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L U = P A -Matrix Decomposition/Factoring

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The rank of a matrix

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