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

Illustration of logical vectors, Illustration of Logical vectors: Call...

Illustration of Logical vectors: Calling the function appears to return similar vector as simply vec > 5, and summing the result still works to determine how many elements wer

Illustration of spreadsheet files, Illustration of Spreadsheet Files: ...

Illustration of Spreadsheet Files: This reads the numbers in a double vector variable nums and the text in a cell array txt (the xlsread function forever returns the numbers f

Matlab program - error-checking for integers, Error-checking for integers: ...

Error-checking for integers: illustrations of running this script as shown below: >> readoneint Enter an integer: 9.5 Invalid! Enter an integer: 3.6 Invalid

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

Use of string variables, Use of string variables: The Characters invol...

Use of string variables: The Characters involve letters of the alphabet, punctuation marks, digits, white space, and control characters. The Control characters are characters

Morphological reconstruction, how can reconstruct just part of an image usi...

how can reconstruct just part of an image using imreconstruct?

Using functions with the vectors and matrices, Using Functions with the Vec...

Using Functions with the Vectors and Matrices: As MATLAB is written to work with the vectors and matrices, the whole vector or matrix can be passed as an argument to the funct

Sprintf function, sprintf function: The sprintf function works precise...

sprintf function: The sprintf function works precisely like the fprintf function, but rather than printing it generates a string. Here are some illustrations in which the outp

Recursive functions, Recursive Functions: The Recursion occurs wheneve...

Recursive Functions: The Recursion occurs whenever something is defined in terms of itself. In the programming, a recursive function is a function which calls itself. The Recu

Three-dimensional plots, Three-Dimensional Plots: The MATLAB has many ...

Three-Dimensional Plots: The MATLAB has many functions which will display three-dimensional plots. Most of these functions have similar name as corresponding two-dimensional p

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