Linear System Solver
Solves a system of linear equations Ax = b using Gaussian elimination with partial pivoting, for 2 to 5 unknowns. Partial pivoting (swapping to the largest available pivot in each column) keeps the elimination numerically stable, avoiding division by very small numbers.
If the system has no unique solution (a singular matrix — dependent or contradictory equations), the tool reports this instead of a misleading result.