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Simplification Functions:
There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify function does anything it can to simplify expressions, involving gathering like terms. For illustration:
>> x = sym('x');
>> myexpr = cos(x)^2 + sin(x)^2
myexpr =
cos(x)^2 sin(x)^2
>> simplify(myexpr)
ans =
1
The functions expand, collect, and factor work with polynomial expressions. The collect function collects the coefficients, for illustration,
>> collect(x^2 + 4*x^3 + 3*x^2)
4*x^2 4*x^3
Function call: In the function call, not any arguments are passed so there are no input arguments in the function header. The function returns an output argument, therefore th
Forward elimination: In forward elimination, we want to obtain a 0 in the a 21 position. To accomplish this, we can alter the second line in the matrix by subtracting from it
Cross Product: The cross or outer product a × b of two vectors a and b is defined only whenever both a and b are the vectors in three-dimensional space, that means that they b
Use polyval to evaluate the derivative at xder. This will be the % slope of the tangent line, "a" (general form of a line: y = ax + b). % 4. Calculate the intercept, b, of t
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
deblank function: The deblank function eliminates only trailing blanks from the string, not leading the blanks. The strtrim function will eliminate both the leading and traili
Print from the structure: To print from the structure, a disp function will show either the whole structure or a field. >> disp(package) item_no: 123 cost: 19.99
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
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]))
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,
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