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Illustration of Matrix solutions:
For illustration, consider the three equations below with 3unknowns x1,x2, and x3:
We can write this in the form Ax = b here A is a matrix of the coefficients, x is the column vector of the unknown xi, and b is the column vector of values on the right-hand side of the equations:
The solution is then x = A-1 b. In a MATLAB there are two easy ways to solve this. The built-in function inv is used to get the inverse of A and then multiply this by b, or use the divided into operator.
>> A = [4 -2 1; 1 1 5; -2 3 -1];
>> b = [7;10;2];
>> x = inv(A)*b
x =
3.0244
2.9512
0.8049
>> x = A\b
Passing arguments to functions: In all these functions examples faraway, at least one of the arguments was passed in the function call to be the value(s) of the equivalent inp
Built-in colormaps: The MATLAB has numerous built-in colormaps which are named; the reference page on colormap shows them. Calling the function colormap without passing any ar
Tracing of Square matrices: The trace of a square matrix is the addition of all the elements on the diagonal. For illustration, for the preceding matrix it is 1 + 6 + 11 + 16,
I have a vector of X, one for Y , one for x-direction velocity U and one for y-direction velocity V. they are at same size. How can I plot streamline of that flow? I follow all exa
Use of built-in colormaps: MATLAB has built-in colormaps, it is also possible to generate others by using combinations of any colors. For illustration, the following generates
Illustration of initializing the data structure: illustration of initializing the data structure by preallocating is here as shown: >> cyls(3) = struct('code', 'c', 'dimen
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 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
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
Referring to and Showing Cell Array Elements and Attributes: Just as with the other vectors, we can refer to individual elements of the cell arrays. The only difference is tha
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