Calculator for Systems of Linear Equations

A system of linear equations consists of equations of the form a₁₁x₁+a₁₂x₂+a₁₃x₃+...=b₁, a₂₁x₁+a₂₂x₂+a₂₃x₃+...=b₂, .... Such a system contains several unknowns. It is solvable for n unknowns and n linear independant equations. The coefficients of the equations are written down as an n-dimensional matrix, the results as an one-dimensional matrix. The augmented matrix, which is used here, separates the two with a line.