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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:
Inverse of square matrix: The inverse is, hence the result of multiplying the scalar 1/D by each and every element in the preceding matrix. Note that this is not the matrix A,
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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
Example Exit modular program: In the illustration below, the user Chose the Limit; - Whenever prompted for n, entered the two invalid values before finally ente
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Help command: The help command is used with the script rectarea, the function readlenwid, and the major function printrectarea. To see the first comment in the subfunction, as
Interchange rows : for illustration interchanging rows ri and rj is written as
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Executing a program: Running the program would be completed by typing the name of the script; this would call the other functions: >> calcandprintarea Whenever prompt
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