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.
Linear algebra is the branch of mathematics concerning vector spaces and linear mappings.