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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 further to answer in all 1's instead of a', therefore the column of b's is the solution:
The MATLAB has a built-in function to do this, known rref. For illustration, for the preceding illustration:
>> a = [1 3 0; 2 1 3; 4 2 3];
>> b = [1 6 3]';
>> ab = [a b];
>> rref(ab)
ans =
1 0 0 -2
0 1 0 1
0 0 1 3
The answer is found from the last column, therefore x1 = -2, x2 = 1, and x3 = 3. To obtain this in a column vector in a MATLAB:
>> x = ans(:,end)
x =
-2
1
3
Illustration of Sound files: For illustration, the following script generates a subplot which shows the signals from chirp and from train, which is as shown in figure:
Changing Case: The MATLAB has two functions which convert strings to all uppercase letters, or all lowercase, known as the upper and lower. >> mystring = 'AbCDEfgh';
Replacing a string - function strrep: The function strrep finds all the occurrences of a substring within the string, and substitutes them with a new substring. The order of a
Program to Counting in a while loop: The script initializes variable counter to 0. Then, in the while loop action, each and every time the user successfully enter a number, th
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
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)
Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the
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
I have a frequency response data. How do I convert that to state space? I am given a 6 row and 3 column data (steady state). How do i convert that to state space model?
Illustration of Variable scope: Running this function does not add any of variables to the workspace, as elaborated: >> clear >> who >> disp(mysum([5 9 1]))
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