Linear equation
Definition: A linear equation on the variables is an equation of the type
,
where and
are complex numbers. We call the numbers
the coefficients of the equation.
Example:
Linear system
Definition: A linear system or system of linear equations is a collection of linear equation.
A linear system on variables and
equations is a list of
equations and each equation has
variables. In this case we say the linear system has order
.
In symbols, such linear system looks like: