Factorization into A = LU - MIT OpenCourseWare
elimination matrices Eij, so that A E21 A E31E21 A U. In the two by two case this looks like: → → →···→ E21 A U 1 0 2 1 2 1 −4 1 8 7 = 0 3 . We can convert this to a factorization A = LU by “canceling” the matrix E21; multiply by its inverse to get E−1 21 E21 A ...
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