Linear Algebra: How to do LU Decomposition of a matrix using Maple
#mathematics #linearalgebra #maple
The goal is to break down a matrix into a permutation, lower triangular, and upper triangular matrix. We then multiply the 3 matrices to get the original matrix.
Maple code:
with(Student[LinearAlgebra]):
M := Matrix([[7, 1, 2], [-1, 0, 1], [-3, 4, 0]])
P, L, U := LUDecomposition(M)
L*~U
Determinant(M)
P . L . U = dot product
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