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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 Set operations: For illustration, given the vectors as shown below: >> v1 = 2:6 v1 = 2 3 4 5 6 >> v2 = 1:2:7 v2 = 1 3 5 7
Creating the structure Variables: Creating a structure variable can be accomplished by simply storing the values in fields by using assignment statements, or by using the stru
str2num function - String: The function str2num does the opposite; it takes the string in which a number is stored and converts it to the type double: >> num = str2num('123.
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:
Example of Interpolation and extrapolation: The MATLAB has a function to do this, known as polyfit. The function polyfit finds the coefficients of the polynomial of the partic
ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =
Storing Strings in Cell Arrays: The one good application of a cell array is to store strings of various lengths. As cell arrays can store various types of values in the elemen
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
Structures: The Structures are data structures which group together values which are logically related in what are known as the fields of structure. The benefit of structures
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
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