Transpose and inverse in R Programming - Mini Project: Build & Apply

Transpose and inverse

📖 Scenario: You are working with a small dataset represented as a matrix. You want to learn how to flip the matrix over its diagonal (transpose) and find its inverse, which is like finding a special matrix that when multiplied with the original gives an identity matrix.

🎯 Goal: Build a simple R program that creates a matrix, stores its transpose, calculates its inverse, and then prints both results.

📋 What You'll Learn

Create a matrix with exact values

Store the transpose of the matrix in a variable

Calculate the inverse of the matrix

Print the transpose and inverse matrices

💡 Why This Matters

🌍 Real World

Matrices are used in many fields like computer graphics, data science, and engineering to represent and transform data.

💼 Career

Understanding matrix operations like transpose and inverse is important for jobs in data analysis, machine learning, and scientific computing.

1

Create the matrix

Create a matrix called mat with values 2, 1 in the first row and 5, 3 in the second row using the matrix() function with byrow = TRUE.

R Programming

# Create the matrix 'mat' with the specified values
# Your code here

Need a hint?

Use matrix(c(...), nrow = 2, byrow = TRUE) to create the matrix with rows filled first.

2

Store the transpose

Create a variable called mat_t and assign it the transpose of mat using the t() function.

R Programming

mat <- matrix(c(2, 1, 5, 3), nrow = 2, byrow = TRUE)
# Create 'mat_t' as the transpose of 'mat'
# Your code here

Need a hint?

Use t(mat) to get the transpose of the matrix.

3

Calculate the inverse

Create a variable called mat_inv and assign it the inverse of mat_t using the solve() function.

R Programming

mat <- matrix(c(2, 1, 5, 3), nrow = 2, byrow = TRUE)
mat_t <- t(mat)
# Create 'mat_inv' as the inverse of 'mat_t'
# Your code here

Need a hint?

Use solve() to find the inverse of a matrix.

4

Print the results

Print the transpose matrix mat_t and the inverse matrix mat_inv using two separate print() statements.

R Programming

mat <- matrix(c(2, 1, 5, 3), nrow = 2, byrow = TRUE)
mat_t <- t(mat)
mat_inv <- solve(mat_t)
# Print 'mat_t' and 'mat_inv'
# Your code here

Need a hint?

Use print(mat_t) and print(mat_inv) to show the matrices.