The Gaussian elimination method is a crucial algorithm in linear algebra used to solve systems of linear equations. It systematically reduces a matrix to its row echelon form using elementary row operations. This calculator simplifies the process, allowing users to input their matrix or equations and quickly obtain the solutions.

Understanding Gaussian Elimination

The Gaussian elimination method transforms a system of linear equations into a simpler form, making it easier to solve. This is done through a series of steps:

Ax = b

Where A is the coefficient matrix, x is the vector of unknowns, and