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

Illustration of set operations, Illustration of Set operations: For il...

Illustration of Set operations: For illustration, given the vectors as shown below: >> v1 = 2:6 v1 = 2  3  4  5  6 >> v2 = 1:2:7 v2 = 1  3  5  7

Square matrices, Square Matrices: If a matrix has similar number of ro...

Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply

Reading from a mat-file, Reading from a Mat-File: The load function is...

Reading from a Mat-File: The load function is used to read from various types of files. As with save function, by default the file will be supposed to be a MAT-file, and load

Example of modular program, Example of modular program: In a modular p...

Example of modular program: In a modular program, there would be one main script which calls three separate functions to complete these tasks: A function to prompt an us

Function strncmp, Function strncmp: The function strncmp compares only...

Function strncmp: The function strncmp compares only the first n characters in the strings and ignores the rest. The initial two arguments are strings to compare, and third ar

Simplification functions, Simplification Functions: There are numerous...

Simplification Functions: There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify functio

Reduced row echelon form, Reduced Row Echelon Form: The Gauss Jordan t...

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

Implementation of binary search, Implementation of binary search: The ...

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

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

Forward substitution, Forward substitution: The Forward substitution (...

Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,

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