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 subfunctions, Illustration of Subfunctions: This is an...

Illustration of Subfunctions: This is an illustration of running this program: >> rectarea Please enter the length: 6 Please enter the width: 3 For a rectan

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

Matrix multiplication, Matrix Multiplication: The Matrix multiplicatio...

Matrix Multiplication: The Matrix multiplication does not mean multiplying term by term; and it is not an array operation. The Matrix multiplication has a very particular mean

Streamslice, I have a 400x2 vel.dat and 20x2 xy.dat file, how can i plot a ...

I have a 400x2 vel.dat and 20x2 xy.dat file, how can i plot a streamslice graph on matlab with this two files.

Interpolation and extrapolation, Interpolation and extrapolation: In m...

Interpolation and extrapolation: In most cases, it is desired to estimate values other than at the sampled data points. For illustration, we may want to estimate what the temp

Use of while loop, Use of While loop: Here is an illustration of calli...

Use of While loop: Here is an illustration of calling the function, passing 5000 for the value of the input argument high. >> factgthigh(5000) ans = 5040 The itera

Illustration of matrix solutions, Illustration of Matrix solutions: Fo...

Illustration of Matrix solutions: For illustration, consider the three equations below with 3unknowns x 1 ,x 2 , and x 3 : We can write this in the form Ax = b here A

Logical scalar values - operators, Logical scalar values: The MATLAB a...

Logical scalar values: The MATLAB also has or and and operators which work element wise for the matrices: These operators will compare any of the two vectors or matric

Data structures, Data structures: The Data structures are variables wh...

Data structures: The Data structures are variables which store more than one value. In order to made sense to store more than one value in a variable, the values must in some

Subfunctions, Subfunctions: Though, it is possible to have more than o...

Subfunctions: Though, it is possible to have more than one function in a given M-file. For illustration, if one function calls the other, the first function would be the prima

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