Gauss Jordan Method | Solving Steps

Gauss Jordan Method | Solving Steps

Gauss Jordan Method

Gauss Jordan Method is the advance method of Gauss Elimination Method.

Solving Process:

We can solve the given system of simultaneous system of linear equation.

• 1.      First of all we will separate the variables.
• 2.      Then we will write the system in matrix form.
• 3.      We will write the augmented matrix along with column of constants.
• 4.       We will apply the properties of matrixes and convert the augmented matrix in reduce echolen form. After that we will write the system in linear form that will provide the solution of given system.
• 5.      Make in the form of reduce echolen form.             

Explanation:

That’s advance method so in which we concert into reduce echolen form. In this form me create upper and lower both triangular forget the value of x, y and z.

Types of Solution

Consistent Solution:

The solution in which x, y and z have a specific value.

Example: x=c_1, ,  y=c₂,  z=c_3.  

Inconsistent Solution:

The solution in which x, y and z have an orbitatay and parametric values.

Example: x=t,   y=3x-1,   z=5x+2

Download Word File