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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
Vector operations: As vectors are special cases of matrices, the matrix operations elaborated (addition, subtraction, multiplication, scalar multiplication, transpose) work on
Graphics Properties: The MATLAB uses the Handle Graphics in all its figures. All figures consist of various objects, each of which is assigned a handle. The object handle is a
Function fieldnames - structure functions: The function fieldnames will return the names of the fields which are contained in the structure variable. >> pack_fields = fiel
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
Gauss Elimination: The Gauss elimination technique consists of: Generating the augmented matrix [A b] Applying EROs to augmented matrix to obtain an upper trian
Finding sums and products: A very general application of a for loop is to compute sums and products. For illustration, rather than of just printing the integers 1 through 5, w
Vectors of Structures: In numerous applications, involving database applications, information generally would be stored in the vector of structures, instead of in individual s
Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply
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
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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