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The routine solves the system of linear equations for X:
A*X = B
A is a square matrix.
The columns of matrix B are individual right-hand sides.
The columns of X are the corresponding solutions.
The matrix B is overwritten by X.
The LU decomposition with partial pivoting and row interchanges is used to factor A as:
A = P*L*U
P is a permutation matrix.
L is a unit lower triangular.
U is an upper triangular.
The factored form of A is then used to solve the system of equations A*X = B.
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