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# Gaussian elimination with fractions

This online calculator solves systems of linear equations using row reduction (Gaussian elimination) while retaining fractions on all calculation stages. At the end, it returns the results in two forms - as a floating point numbers and as a fractions (with numerator and denominator)

We already have calculator for Gaussian elimination on this site, it is here Gaussian elimination. However, it does all calculations with floating point numbers. Sometimes this loses the precision, which could be an issue.

This calculator retains fractions on all calculation stages. So, at the end, it is possible to get result in fraction form - with numerator and denominator. I use "solution vector as fractions" to output it. Top row is numerators, and bottom row is denominators. #### Gaussian elimination with fractions

Digits after the decimal point: 2
Solution vector

Solution vector as fractions

Number of solutions PLANETCALC, Gaussian elimination with fractions