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

Patch function - graphics objects, Patch function - graphics objects: ...

Patch function - graphics objects: The patch function is used to generate a patch graphics object, which is made from 2-dimensional polygons. The patch is defined by its verti

Expanding a function, Expanding a function: The expand function will m...

Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)

Sort algorithm for sorting vectors of structures, Sort algorithm for Sortin...

Sort algorithm for Sorting vectors of structures: Note that only the price field is compared in the sort algorithm, but the whole structure is replaced. That is therefore each

Function cirarea - anonymous functions, Function cirarea - Anonymous functi...

Function cirarea - Anonymous functions: The function handle name is cirarea. The one argument is passed to the input argument radius. The body of the function is an expression

Deblank function, deblank function: The deblank function eliminates on...

deblank function: The deblank function eliminates only trailing blanks from the string, not leading the blanks. The strtrim function will eliminate both the leading and traili

Basic mathematical operations, Basic mathematical operations: All the ...

Basic mathematical operations: All the basic mathematical operations can be executed on symbolic expressions and variables (example, add, raise to a power, multiply, subtract,

Function used in sound files, Function used in sound files: The MATLAB...

Function used in sound files: The MATLAB has numerous other functions which let you read and play sound or audio files. In the audio files, sampled data for each audio channel

Examine exponential function - algorithm, Examine exponential function: ...

Examine exponential function: The algorithm for the main script program is shown below:  Call a function eoption to show the menu and return the user's choice.  Loop

Illustration of gauss-jordan elimination, Illustration of gauss-jordan elim...

Illustration of gauss-jordan elimination: An illustration of interchanging rows would be r1 ¬→ r3, that would results: Now, beginning with this matrix, an illustration of sc

Replacement - gauss-jordan elimination, Replacement : Replace a row b...

Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as   ri  - srj →  ri Note that when r

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