LU Decomposition using Gaussian Elimination - Applied Numerical Methods
In this video we find the Lower and Upper Triangular matrices from a 4x4 square matrix using Doolittle's method. ITS SIMPLE: Step 1: Write out your [L] matrix with "1" on the diagonals. Step 2: fill in the upper elements of the lower triangular matrix with zeroes Step 3: With Gaussian Elimination techniques, reduce the original matrix [A] to an upper triangular. Step 4: Every 'factor' used to eliminate the component of interest, (aij), insert that same value with an opposite sign in the lower triangular matrix in the same component that was eliminated. For more videos and content please check out my website: www.everythingeng.com Be sure to follow me in Twitter and LinkedIn: Blake Tabian Like, share and subscribe! There will be plenty more to come!

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