through constructors. Calculate cSum =cl+ c2 and cCon= conjugate of cSum
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Imaginary axis
Questions 2)
C=r+w]
A complex number is defined as
c=r +wJ
and shown in the real-complex plane
as in Figure. Here r is the real part
and the w is the imaginary part.
real axis
The following operations are defined on a complex number. Let ci berntwij and cz be
rz+wa].
• (+) Addition : ci + c → (ri +r2 )+ (wi+ wz) j
• ) Assign : a = c2 > ri= r2; wi = w2
(*) Multiplication: c1 * c2 > (rı + wij ) * (r2 + wzj )
= (ri* r2+ n* wzj + wij * r2 + wij * wzj ). Here j= -
1
1. Write a class which represents a complex number c. Real and imaginary pars are
stored as protected members in the class. Real and imaginary parts can also to be
given as real parameters on construction of the class instant. Usual set/get methods are
to be provided to access real and imaginary parts.
2. Implement operators (+), (=) and (*) as described above.
3. Complex Conjugate of C is defined as ī =r- wj. Write a conjugate method which
returs conjugate of number
4. In a main source file construct el = 5 +3j, c2 = 2 + 4j, cSum = 0+0j and cCon=0+0j
through constructors. Calculate
cSum =cl+ c2 and
cCon = conjugate ofcSum
Not: please use one header (h) and one source (cpp) file for the class.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddf3bb55-d931-41ee-a9d4-af27b5779aed%2F399206b1-1dfa-42dc-ba21-0756ddd0fdea%2Fk99jmv_processed.png&w=3840&q=75)
Transcribed Image Text:Imaginary axis
Questions 2)
C=r+w]
A complex number is defined as
c=r +wJ
and shown in the real-complex plane
as in Figure. Here r is the real part
and the w is the imaginary part.
real axis
The following operations are defined on a complex number. Let ci berntwij and cz be
rz+wa].
• (+) Addition : ci + c → (ri +r2 )+ (wi+ wz) j
• ) Assign : a = c2 > ri= r2; wi = w2
(*) Multiplication: c1 * c2 > (rı + wij ) * (r2 + wzj )
= (ri* r2+ n* wzj + wij * r2 + wij * wzj ). Here j= -
1
1. Write a class which represents a complex number c. Real and imaginary pars are
stored as protected members in the class. Real and imaginary parts can also to be
given as real parameters on construction of the class instant. Usual set/get methods are
to be provided to access real and imaginary parts.
2. Implement operators (+), (=) and (*) as described above.
3. Complex Conjugate of C is defined as ī =r- wj. Write a conjugate method which
returs conjugate of number
4. In a main source file construct el = 5 +3j, c2 = 2 + 4j, cSum = 0+0j and cCon=0+0j
through constructors. Calculate
cSum =cl+ c2 and
cCon = conjugate ofcSum
Not: please use one header (h) and one source (cpp) file for the class.
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