Example of gauss-jordan, MATLAB in Engineering

Example of Gauss-jordan:

For a 2×2 system, this would results

2314_Example of Gauss-jordan.png

and for a 3 × 3 system,

1623_Example of Gauss-jordan1.png

Note that the resulting diagonal form does not involve the right-most column.

For illustration, the 2 × 2 system, forward elimination results the matrix:

1637_Example of Gauss-jordan2.png

Now, to carry on with back elimination, we require a 0 in the a12 position.

 

Therefore, the solution is x1 = 4; -2x2 = 2 or x2 = -1.

1945_Example of Gauss-jordan3.png

 

Here is an illustration of a 3× 3 system:

1374_Example of Gauss-jordan4.png

In a matrix form, the augmented matrix [A|b] is as shown below:

2438_Example of Gauss-jordan5.png

Posted Date: 10/22/2012 5:07:51 AM | Location : United States







Related Discussions:- Example of gauss-jordan, Assignment Help, Ask Question on Example of gauss-jordan, Get Answer, Expert's Help, Example of gauss-jordan Discussions

Write discussion on Example of gauss-jordan
Your posts are moderated
Related Questions
Passing Structures to Functions: The whole structure can be passed to a function, or separate fields can be passed. For illustration, here are the two distinct versions of a f

Program of passing arguments to functions: This was an illustration of a function which did not receive any input arguments nor did it return any output arguments; it easily a

Technique to create Nested structures: This technique is the most proficient. Though, the other technique is to build the nested structure one field at a time. As this is a ne

Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi

. Generate the following signal, x(n)=1+cos((25*pi*n)/100),0 Compute the DTFT of x[n] for w=0:0.01:2*pi Plot the Real part, imaginary part, the amplitude and phas

Reduced Row Echelon Form: The Gauss Jordan technique results in a diagonal form; for illustration, for a 3 × 3 system: The Reduced Row Echelon Forms take this one step

Converting between the String and Number types: The MATLAB has many functions which convert numbers to strings in which each character element is a separate digit, and vice ve

IS Functions for Strings: There are many functions for strings, that return logical true or false. The function isletter returns the logical true when the character is a lette

Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re

Structures: The Structures are data structures which group together values which are logically related in what are known as the fields of structure. The benefit of structures