Complex type in R Programming - Mini Project: Build & Apply

Working with Complex Numbers in R

📖 Scenario: Imagine you are an engineer working with signals that have both real and imaginary parts. You need to handle complex numbers to analyze these signals.

🎯 Goal: You will create complex numbers, perform basic operations on them, and display the results.

📋 What You'll Learn

Create complex numbers using the complex() function

Store complex numbers in variables

Add two complex numbers

Multiply two complex numbers

Print the results

💡 Why This Matters

🌍 Real World

Complex numbers are used in engineering fields like signal processing, electrical circuits, and control systems to represent waves and oscillations.

💼 Career

Understanding complex numbers helps in jobs involving data analysis, scientific computing, and engineering simulations.

1

Create two complex numbers

Create a complex number called z1 with real part 3 and imaginary part 4. Create another complex number called z2 with real part 1 and imaginary part 2.

R Programming

# Create complex numbers z1 and z2
# Your code here

Need a hint?

Use the complex() function with real and imaginary arguments.

2

Add the two complex numbers

Create a variable called sum_z that stores the sum of z1 and z2.

R Programming

z1 <- complex(real = 3, imaginary = 4)
z2 <- complex(real = 1, imaginary = 2)
# Add z1 and z2 and store in sum_z
# Your code here

Need a hint?

Use the + operator to add complex numbers.

3

Multiply the two complex numbers

Create a variable called prod_z that stores the product of z1 and z2.

R Programming

z1 <- complex(real = 3, imaginary = 4)
z2 <- complex(real = 1, imaginary = 2)
sum_z <- z1 + z2
# Multiply z1 and z2 and store in prod_z
# Your code here

Need a hint?

Use the * operator to multiply complex numbers.

4

Print the results

Print the values of sum_z and prod_z using two separate print() statements.

R Programming

z1 <- complex(real = 3, imaginary = 4)
z2 <- complex(real = 1, imaginary = 2)
sum_z <- z1 + z2
prod_z <- z1 * z2
# Print sum_z and prod_z
# Your code here

Need a hint?

Use print(sum_z) and print(prod_z) to show the results.