The system of linear equations becomes overdetermined system if there are more equations than unknowns. It usually does not have solutions. From the Solving System of Linear Equations, the system of linear equations can be written in the matrix form as: AX = B Where: A is m x n matrix of coefficients. X is […]
A system of linear equations is homogeneous if all of the constant terms are zero. From Solving System of Linear Equations, the general form of homogeneous system of linear equations can be written as: a11x1 + a12x2 + a13x3 + … + a1nxn = 0 a21x1 + a22x2 + a23x3 + … + a2nxn = […]
A system of linear equations is a collection of linear equations involving the same set of variables. For example: 5x + 2y – 3z = 1 -2x – y + 7z = 8 4x – 13y + z = -10 is a system of three equations in the three variables x, y and z. A […]