3.7 Solving Systems of Linear Equations

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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.

3.7.1 Substitution

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

In Scilab this is

3.7.2 Addition

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