MIT 18.06 Lecture 4: Factorization into A = LU
Shows why inverse elementary matrices assemble without cross-terms into lower-triangular L, yielding A = LU and quantifying the exact (1/3)n³ operation count of Gaussian elimination.
MIT 18.06 Linear Algebra, Spring 2005
Instructor: Gilbert Strang
View the complete course: http://ocw.mit.edu/18-06S05
YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8
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Matrix Multiplication and Inverse Matrices
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