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linear-algebra
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- LU Decomposition by Hand: Splitting a 3×3 Matrix into L·ULU decomposition is Gaussian elimination with the work saved: U is what elimination leaves behind, L records how many times each row was subtracted. Working one 3×3 matrix all the way through, then using it to solve equations and get a determinant, why row swaps are needed (PA = LU), and what it's actually good for.