Gaussian Elimination Calculator
gaussian elimination calculator. Get instant, accurate results. Enter values for instant results with step-by-step formulas.
Reviewed by Manoj Kumar, Mathematics Educator
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Row Reduce [A|b] to RREF using: R_i ↔ R_j, R_i → kR_i, R_i → R_i + kR_j
Gaussian elimination converts the augmented matrix [A|b] to row-echelon form (REF) or reduced row-echelon form (RREF) using elementary row operations. Back-substitution then gives the solution.
Worked Examples
Example 1: 2x2 system
Problem:2x + y = 5, 4x - 6y = -2
Solution:Augmented: [2,1,5;4,-6,-2]. RREF gives x=2, y=1
Result:x = 2, y = 1
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy