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 logical built-in functions, Example of Logical built-in function...

Example of Logical built-in functions: For equivalent to all the function, we should make sure that the entire elements in the vector are logically true. The one way of doing

Types of user-defined functions, Types of User-defined Functions: We k...

Types of User-defined Functions: We know how to write a user-defined function, stored in an M-file, which computes and returns one value. This is merely one type of the functi

Sorting, Sorting The Sorting is a process of putting a list in order; ...

Sorting The Sorting is a process of putting a list in order; either in descending (maximum to minimum), or ascending (minimum to maximum) order. For illustration, here is a li

Illustration of logical built-in functions, Illustration of logical built-i...

Illustration of logical built-in functions: The function find returns the indices of a vector which meet certain criteria. For illustration, to find all the elements in a vect

Blanks function, Blanks function: The blanks function will generate a ...

Blanks function: The blanks function will generate a string consisting of n blank characters-that are kind of hard to see here! Though, in a MATLAB if the mouse is moved to hi

Creating string variables, Creating string Variables: The string consi...

Creating string Variables: The string consists of a few numbers of characters (including, possibly, none). These are the illustrations of the strings: '' 'x' 'ca

Example of symbolic expression, Example of Symbolic Expression When the...

Example of Symbolic Expression When there is more than one variable, the MATLAB selects which to solve for. In the illustration below, the equation ax 2 + bx = 0 is solved. Th

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

Common form of the switch statement, Common form of the switch statement: ...

Common form of the switch statement: The common form of the switch statement is as shown below:   switch switch_expression   case caseexp1    action1   case cas

Concatenation, Concatenation: The String concatenation means to join t...

Concatenation: The String concatenation means to join the strings altogether. Of course, as strings are merely vectors of the characters, the technique of concatenating vector

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