np.eye() for identity matrices in NumPy - Mini Project: Build & Apply

Creating and Using Identity Matrices with np.eye()

📖 Scenario: Imagine you are working on a simple math project where you need to create identity matrices. Identity matrices are special square matrices with 1s on the diagonal and 0s elsewhere. They are useful in many areas like solving equations or transforming data.

🎯 Goal: You will create identity matrices using np.eye() and then select a smaller identity matrix from a larger one.

📋 What You'll Learn

Create a 4x4 identity matrix using np.eye()

Create a variable called size to store the size of the smaller identity matrix

Use np.eye() with the N parameter set to size to create the smaller identity matrix

Print the smaller identity matrix

💡 Why This Matters

🌍 Real World

Identity matrices are used in computer graphics, solving systems of equations, and machine learning algorithms.

💼 Career

Understanding identity matrices and numpy basics is important for data scientists and engineers working with linear algebra and data transformations.

1

Create a 4x4 identity matrix

Import numpy as np and create a variable called identity_matrix that holds a 4x4 identity matrix using np.eye().

NumPy

import numpy as np
# Create a 4x4 identity matrix called identity_matrix
# Your code here

Need a hint?

Use np.eye(4) to create a 4 by 4 identity matrix.

2

Create a variable for the smaller matrix size

Create a variable called size and set it to 3. This will be the size of the smaller identity matrix you want to create.

NumPy

import numpy as np
identity_matrix = np.eye(4)
# Create a variable called size and set it to 3
# Your code here

Need a hint?

Just write size = 3 to store the size.

3

Create a smaller identity matrix using the size variable

Create a variable called small_identity and set it to an identity matrix of size size using np.eye().

NumPy

import numpy as np
identity_matrix = np.eye(4)
size = 3
# Create a smaller identity matrix called small_identity using np.eye(size)
# Your code here

Need a hint?

Use np.eye(size) to create the smaller identity matrix.

4

Print the smaller identity matrix

Print the variable small_identity to display the smaller identity matrix.

NumPy

import numpy as np
identity_matrix = np.eye(4)
size = 3
small_identity = np.eye(size)
# Print the small_identity matrix
# Your code here

Need a hint?

Use print(small_identity) to show the matrix.