Gaussian elimination algorithm

Gaussian elimination is a systematic method for solving systems of linear equations. It involves transforming the set of equations into an equivalent but simpler form called row echelon form, using operations like swapping equations, multiplying by constants, and adding multiples of one equation to another. This process eliminates variables step-by-step, making it straightforward to find the values of each variable through back-substitution. Overall, it’s a structured approach that converts complex systems into simpler ones, allowing for efficient, reliable solutions.