Mathematics of Linear Algebra

Any straight line in the XY plane can be represented algebraically by an equation of the form a 1 x 1 + a 2 x 2 + - - - - - - + a n x n = b ----------------------- (1) Where a 1, a 2 - - - - - - a n and b are real constants. An equation of this form is called Linear Equation in the variables x 1 , x 2 - - - - - - x n . The variables in a linear equation are sometimes called Unknown.

There are two types of linear equation such as Homogeneous Linear Equation and Non-homogeneous Linear Equation. If b = 0 then (1) is called Homogeneous Linear Equation and if b is not equal 0 the (1) is called Non-homogeneous Linear Equation.