3.7 Solving Systems of Linear Equations

• Systems of linear equations are of the form below,

• In general there must be the same number of equations and unknowns to solve the equations.

• In some cases the equations will not be solvable. In this case we say the equations are singular.

• Substitution is the most fundamental method for solving linear equations, but it is the least routine,

• In Scilab this is

• Polynomials can be added to eliminate variables (in a matrix for this is referred to as the Gauss-Jordan row reduction method).