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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)
(x 2)*(x-1)
The function subs will replace a value for the symbolic variable in an expression. For illustration,
>> myexp = x^3 + 3*x^2 - 2
myexp =
x^3 3*x^2-2
>> x = 3;
>> subs(myexp,x)
52
With symbolic math, a MATLAB works by the default with rational numbers means that the outcomes are kept in fractional forms. For illustration, executing the addition 1/3 + 1/2 would generally answer in a double value:
>> 1/3 + 1/2
0.8333
Though, by making the expression symbolic, the outcome is symbolic also. Any numeric function (example, double) could modify that:
>> sym(1/3 + 1/2)
5/6
>> double(ans)
Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re
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
Vectors of Structures: In numerous applications, involving database applications, information generally would be stored in the vector of structures, instead of in individual s
1. Write a MATLAB function (upperTriangle) using the functions you previously created to convert a matrix to upper triangular form. Start with row 1, column1. Find the row that has
Modular programs: In a modular program, the answer is broken down into modules, and each is executed as a function. The script is usually known as the main program. In orde
Passing Structures to Functions: The whole structure can be passed to a function, or separate fields can be passed. For illustration, here are the two distinct versions of a f
Scaling: change a row by multiplying it by a non-zero scalar sri → ri For illustration, for the matrix:
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
Sound Files: The sound signal is an illustration of a continuous signal which is sampled to result in a discrete signal. In this situation, sound waves traveling through the a
Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,
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