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Example of Gauss-jordan:
For a 2×2 system, this would results
and for a 3 × 3 system,
Note that the resulting diagonal form does not involve the right-most column.
For illustration, the 2 × 2 system, forward elimination results the matrix:
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.
Here is an illustration of a 3× 3 system:
In a matrix form, the augmented matrix [A|b] is as shown below:
Modular programs: In a modular program, the answer is broken down into modules, and each is executed as a function. The script is usually known as the main program. In orde
sane as above
Algorithm for subfunction: The algorithm for subfunction askforn is as shown: Prompt the user for the positive integer n. Loop to print an error message and reprom
Related Structure Functions: There are many functions which can be used with structures in a MATLAB. The function isstruct will return 1 for logical true when the variable arg
Illustration of gauss-jordan: Here's an illustration of performing such substitutions by using MATLAB >> a = [1 3 0; 2 1 3; 4 2 3] a = 1 3 0 2 1 3 4 2
Illustration of if - else statement: The one application of an if-else statement is to check for errors in the inputs to a script. For illustration, a former script prompted t
Calling of Function polyval: The curve does not appear very smooth on this plot, but that is as there are only five points in the x vector. To estimate the temperature
Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown
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
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
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