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Monday, November 3, 2008

Definition of Linear Equation

Any straight line in the XY plane can be represented algebraically by an equation of the form

a1x1 + a2x2 + - - - - - - + anxn = b ----------------------- (1)

Where a1, a2 - - - - - - an and b are real constants. An equation of this form is called Linear Equation in the variables x1, x2 - - - - - - xn . The variables in a linear equation are sometimes called Unknown.

Types of Linear Equation

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.

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