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5.57.6  LU decomposition (for TI compatibility): LU

LU takes as argument a numeric square matrix A of size n and three variable names, var1, var2 and var3.
LU(A,var1,var2,var3) returns P, a permutation matrix, and stores:

These matrices are such that

the equation A*x=B is equivalent to L*U*x=P*B.

Input:

LU([[3,5],[4,5]],L,U,P)

Output:

[[0,1],[1,0]]

Input:

L

Output:

[[1,0],[0.75,1]]

Input:

U

Output:

[[4,5],[0,1.25]]

Input:

P

Output:

[[0,1],[1,0]]

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