Math
Gaussian elimination: planes meeting at a point
Step through Gaussian elimination and its changing equation planes, edit a 3×3 system and examine pivoting and rank.
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Each row operation changes an equation plane while preserving the solution set. Inspect partial pivoting, a tiny leading pivot, inconsistent and rank-deficient systems. Custom rows contain a b c rhs. In a consistent underdetermined system, free variables are set to zero.
Equations used in the module
Equations Row operation: Ri ← Ri − (aik/akk)Rk Partial pivot: swap in the largest |aik| in the current column Back substitution solves the triangular system A zero coefficient row with nonzero right side means inconsistency
