Row echelon form

Row echelon form is a way of organizing a matrix (a grid of numbers) so that it’s easier to solve systems of equations. In this form, each row starts with more zeros than the one above it, creating a staircase pattern. The first non-zero number in each row (called the leading entry) moves to the right as you go down the rows. This structure helps identify solutions more straightforwardly and is a key step in techniques like Gaussian elimination. Overall, it simplifies complex calculations, making it clearer to find values that satisfy multiple equations simultaneously.