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Calculators
Math Calculators
Linear Algebra Calculators
Gauss-Jordan Elimination Calculator

Gauss-Jordan Elimination Calculator

Free online Gauss-Jordan Elimination Calculator. Part of our comprehensive Math Calculators suite.

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About Gauss-Jordan Elimination Calculator

The Gauss-Jordan Elimination Calculator is a precise online tool engineered to efficiently solve systems of linear equations and determine the inverse of a matrix. This calculator simplifies complex algebraic tasks by systematically applying elementary row operations to transform an augmented matrix into its reduced row echelon form. It serves as an invaluable resource for students grappling with linear algebra concepts, educators demonstrating matrix operations, and professionals in engineering, economics, and computer science who routinely encounter linear systems. By automating the intricate steps of Gauss-Jordan elimination, this tool ensures accuracy, significantly reduces calculation time, and fosters a clearer understanding of this fundamental mathematical method, making advanced computations accessible and straightforward.

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Space between columns, newline between rows

Determinant |A|

-2.00

Matrix Rank

2

RREF (Reduced Row Echelon Form)

[ 1.00 0.00 ]
[ 0.00 1.00 ]

Matrix Inverse (A⁻¹)

[ -2.000 1.000 ]
[ 1.500 -0.500 ]