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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
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sane as above
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Appending variables to the Mat-File: Appending to the file adds to what has been saved in a file, and is accomplished by using the -append option. For illustration, supposing
7.13
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
Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on
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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
Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi
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