Eigenvalues and eigenvectors (eig) in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the function that calculates eigenvalues and eigenvectors.

SciPy

from scipy.linalg import [1]

matrix = [[2, 0], [0, 3]]
values, vectors = [1](matrix)

Drag options to blanks, or click blank then click option'

Aeig

Binv

Cdet

Dsolve

Attempts:

3 left

💡 Hint

Common Mistakes

Using functions like inv or det instead of eig.

Not importing the function before using it.

The eig function from scipy.linalg computes eigenvalues and eigenvectors of a matrix.

2fill in blank

medium

Complete the code to create a 2x2 matrix for eigenvalue calculation.

SciPy

import numpy as np

matrix = np.array([1])
values, vectors = eig(matrix)

Drag options to blanks, or click blank then click option'

A[[1, 2], [3, 4]]

B[1, 2, 3, 4]

C[[1, 2, 3], [4, 5, 6]]

D[[1, 2], [3]]

Attempts:

3 left

💡 Hint

Common Mistakes

Using a 1D list instead of a 2D array.

Creating matrices with inconsistent row lengths.

The matrix must be a 2x2 array for this example. Option A correctly defines a 2x2 matrix.

3fill in blank

hard

Fix the error in the code to correctly compute eigenvalues and eigenvectors.

SciPy

from scipy.linalg import eig

matrix = [[4, 1], [2, 3]]
values, vectors = eig([1])

Drag options to blanks, or click blank then click option'

Amatrix.tolist()

B[4, 1, 2, 3]

Cmatrix

Dnp.array(matrix)

Attempts:

3 left

💡 Hint

Common Mistakes

Passing a flat list instead of a 2D matrix.

Using undefined variables or wrong data types.

The variable matrix is already a list of lists, which eig accepts. Passing it directly works.

4fill in blank

hard

Fill both blanks to create a dictionary of eigenvalues and their corresponding eigenvectors.

SciPy

values, vectors = eig(matrix)
eigen_dict = {values[[1]]: vectors[:, [2]] for i in range(len(values))}

Drag options to blanks, or click blank then click option'

Ai

B0

C1

Dlen(values)

Attempts:

3 left

💡 Hint

Common Mistakes

Using fixed indices instead of the loop variable.

Mixing up row and column indexing for vectors.

Use the loop variable i to index both eigenvalues and eigenvectors correctly.

5fill in blank

hard

Fill all three blanks to compute eigenvalues, eigenvectors, and print the first eigenvalue and its vector.

SciPy

from scipy.linalg import [1]
import numpy as np

matrix = np.array([[5, 4], [1, 2]])
values, vectors = [2](matrix)
print('First eigenvalue:', values[[3]])
print('First eigenvector:', vectors[:, 0])

Drag options to blanks, or click blank then click option'

Aeig

Beigvals

C0

Attempts:

3 left

💡 Hint

Common Mistakes

Using eigvals which returns only eigenvalues, not vectors.

Using wrong index for the first eigenvalue.

Import and use eig to get eigenvalues and eigenvectors. The first eigenvalue is at index 0.