Gauss's elimination

Gauss's elimination is a mathematical method used to solve systems of linear equations. It simplifies a set of equations into a more manageable form by transforming them into an upper triangular matrix, where all the values below the main diagonal are zero. This process involves using basic operations—such as adding, subtracting, or multiplying equations—to eliminate variables systematically. Once in this simplified form, it's easier to find the solutions through back-substitution. This technique not only helps in solving equations but also has applications in fields like engineering, computer science, and economics.