Example of gauss-jordan, MATLAB in Engineering

Assignment Help:

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


Related Discussions:- Example of gauss-jordan

Reading from a file in a while loop, Reading from a File in a While Loop: ...

Reading from a File in a While Loop: Though in most languages the combination of a loop and an if statement would be essential to determine whether or not the elements in a ve

Filter, A matlab function to calculate filter order

A matlab function to calculate filter order

Use of nested if-else statements, Use of Nested if-else statements: By...

Use of Nested if-else statements: By using the nested if-else to select from among the three possibilities, not all the conditions should be tested. In this situation, if x is

Illustration of graphics properties, Illustration of Graphics properties: ...

Illustration of Graphics properties: A particular property can also be exhibited, for illustration, to view the line width:     >> get(hl,'LineWidth')     ans =

True color matrice - image processing, True color matrice: The true co...

True color matrice: The true color matrices are the other way to represent images. The true color matrices are 3-dimensional matrices. The first two coordinates are the coordi

Interchange rows - gauss-jordan elimination, Interchange rows : for illust...

Interchange rows : for illustration interchanging rows ri and rj is written as

Example to change the line width from the default, Example to change the li...

Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the

Function imread - image processing, function imread: The function imre...

function imread: The function imread can read an image file, for illustration a JPEG (.jpg) file. The function reads color images into a 3-dimensional matrix. >> myimage1

Gauss-jordan, Gauss-Jordan: The Gauss-Jordan elimination technique beg...

Gauss-Jordan: The Gauss-Jordan elimination technique begins in similar way which the Gauss elimination technique does, but then rather than of back-substitution, the eliminati

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd