Gaussian elimination

Gaussian elimination is a method used to solve systems of linear equations. It transforms a matrix of coefficients into a simpler form, typically row-echelon form, through a series of steps: swapping rows, multiplying rows by numbers, and adding or subtracting rows from one another. This process makes it easier to determine the values of the variables in the equations. The goal is to gradually eliminate variables from the equations until you can solve for each variable individually, making it a powerful tool in mathematics, engineering, and various fields requiring problem-solving with equations.