Built-in functions for complex numbers, MATLAB in Mathematics

Assignment Help:

Built-in functions for Complex numbers: 

We know that in MATLAB both i and j are built-in functions which return √-1 (therefore, they can be thought of as built-in constants). The Complex numbers can be generated by using i or j, for illustration, 5 + 2i or 3 - 4j. The multiplication operator is not needed between the value of the imaginary part and the constant i or j.

The MATLAB also has a function complex which will return a complex number. It receives two numbers, that is the real and imaginary parts in that order, or only one number that would be the real part (therefore the imaginary part would be 0). Here are a few illustrations of generating complex numbers in a MATLAB:

>> z1 = 4 + 2i

z1 =

   4.0000 + 2.0000i

>> z2 = sqrt(-5)

z2 =

   0 + 2.2361i

>> z3 = complex(3,-3)

z3 =

   3.0000 - 3.0000i

>> z4 = 2 + 3j

z4 =

   2.0000 + 3.0000i

>> z5 = (-4) ^ (1/2)

ans =

   0.0000 + 2.0000i

>> myz = input('Enter a complex number: ')

Enter a complex number: 3 + 4i

myz =

   3.0000 + 4.0000i

 

Note that even when j is used in an expression, i is used in the outcome. The MATLAB displays the type of the variables generated here in the Workspace Window (or by using whos) as double (complex). The MATLAB has functions real and imag which return the real and imaginary parts of complex numbers.

>> real(z1)

ans =

   4

>> imag(z3)

ans =

   -3


Related Discussions:- Built-in functions for complex numbers

Example of minimum and maximum value, Example of Minimum and Maximum Value ...

Example of Minimum and Maximum Value For matrices, the functions min and max operate column wise by the default: >> mat = randint(2,4,[1 20]) mat =    9   10   1

User input in the while loop - program, User input in the while loop: ...

User input in the while loop: Here is an illustration of running this script: >> readonenum Enter a positive number: -5 Invalid! Enter a positive number: -2.2

Strcat function - concatenation, Strcat function - Concatenation : The ...

Strcat function - Concatenation : The strcat function, though, will eliminate the trailing blanks from strings before concatenating. Note that in these illustrations, the trail

Illustration of a recursive function, Illustration of a recursive function:...

Illustration of a recursive function: illustration is of a recursive function which does not return anything, but simply prints. The below function prtwords receives a sentenc

Cholesky factorisation of packed storage matrix, If I have a vector represe...

If I have a vector representing the packed storage form of a symmetric matrix, how do I perform a cholesky factorisation on that?

Structure consisting of the fields, Structure Consisting of the Fields ...

Structure Consisting of the Fields A MATLAB can also solve the sets of equations. In this illustration, the solutions for x, y, & z are returned as a structure consisting of th

Illustration of nested function, Illustration of nested function: The ...

Illustration of nested function: The output arguments are distinct from variables. The scope of an output argument is merely the nested function; and it cannot be used in the

Logical vectors, Logical Vectors: The relational operators can also be...

Logical Vectors: The relational operators can also be used with the vectors and matrices. For illustration, let's say that there is a vector, and we want to compare each eleme

Fliplr function - changing dimensions, Fliplr function: The fliplr fun...

Fliplr function: The fliplr function "flips" the matrix from left to right (in another words the left-most column, the first column, become the last column and so on), and the

Program of built-in factorial function, Program of built-in factorial funct...

Program of built-in factorial function: Calling this function yields similar result as the built-in factorial function: >> fact(5) ans =   120 >> factorial(

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd