RREF Calculator
Reduce a matrix to its Reduced Row Echelon Form using Gaussian elimination. Perfect for linear algebra.
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Applications
Used extensively in linear algebra to solve systems of linear equations, determine the rank of a matrix, and find the inverse of a matrix.
The Formula
Applies Gaussian elimination with partial pivoting. It uses elementary row operations (row swapping, scaling, and adding multiples of one row to another) until the matrix is in reduced row echelon form.
Fun Fact: Carl Friedrich Gauss, the namesake of Gaussian elimination, didn't actually invent it. A similar method was found in the ancient Chinese mathematical text 'The Nine Chapters on the Mathematical Art' circa 179 AD.
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