Evaluating numerical algorithm
Gauss-Jordan Elimination extends Gaussian Elimination by also eliminating elements above each pivot — reducing the augmented matrix to Reduced Row Echelon Form (RREF). The solution is read off directly with no back substitution needed. It also forms the basis for computing matrix inverses.
Gauss (Upper Triangular)
Needs back substitution to find x
Gauss-Jordan (RREF)
Solution reads directly:
💡 Yellow column = constants vector b. Coefficient matrix A is on the left. Full system: Ax = b.