[tex] \large\color{green}{hello \ guys \ how \ are \ you \ all} [/tex]
[tex] \large\color{red}{here's \ my \ question \ below \downarrow} [/tex]
______________________________
#1 What is complex number?
#2 write it's properties.
#3 what are the uses of it?
______________________________
[tex]\large\color{purple}{Note \ - \ incomplete \ and \ wrong \\ \ answers \ will \ be \ reported. \\ Note - spammers will be reported } [/tex]
[tex] \large\color{red}{here's \ my \ question \ below \downarrow} [/tex]
______________________________
#1 What is complex number?
#2 write it's properties.
#3 what are the uses of it?
______________________________
[tex]\large\color{purple}{Note \ - \ incomplete \ and \ wrong \\ \ answers \ will \ be \ reported. \\ Note - spammers will be reported } [/tex]
Answers & Comments
Verified answer
Answer:
Hey Friend!
Thank you for asking! I'm doing well, and my day has been quite productive. How about you
Here's your answer :
1) A complex number is a number that comprises both a real part and an imaginary part. It is expressed in the form a + bi, where "a" represents the real part and "bi" represents the imaginary part.
2) Properties of complex numbers include:
- Addition and subtraction: Complex numbers can be added or subtracted by combining their real and imaginary parts separately.
- Multiplication: Complex numbers can be multiplied using the distributive property and the fact that i^2 equals -1.
- Division: Complex numbers can be divided by rationalizing the denominator.
- Conjugate: The conjugate of a complex number is obtained by changing the sign of its imaginary part.
3) Uses of complex numbers:
- Mathematics: Complex numbers are extensively used in various branches of mathematics, including algebra, analysis, and geometry.
- Physics and Engineering: Complex numbers are used in fields such as electrical engineering, quantum mechanics, signal processing, and control systems.
- Computer Science: Complex numbers find applications in computer graphics, image processing, cryptography, and simulations.
- Economics and Finance: Complex numbers are utilized in economic modeling, financial analysis, and option pricing models.
Hope that helped you!
Seize the day with a smile! :)
-A r i a
"a" represents the real part and "bi" represents the imaginary part
2) Properties of complex numbers include:
- Addition and subtraction: Complex numbers can be added or subtracted by combining their real and imaginary parts separately.
- Multiplication: Complex numbers can be multiplied using the distributive property and the fact that i^2 equals -1
- Division: Complex numbers can be divided by rationalizing the denominator.
- Conjugate: The conjugate of a complex number is obtained by changing the sign of its imaginary part
3) Uses of complex numbers:
- Mathematics: Complex numbers are extensively used in various branches of mathematics, including algebra, analysis, and geometry
- Physics and Engineering: Complex numbers are used in fields such as electrical engineering, quantum mechanics, signal processing, and control systems
- Computer Science: Complex numbers find applications in computer graphics, image processing, cryptography, and simulations.
- Economics and Finance: Complex numbers are utilized in economic modeling, financial analysis, and option pricing models