What are eigenvalues and eigenvectors in NumPy?

Can you explain what eigenvalues and eigenvectors are in the context of NumPy?

Sure! Eigenvalues and eigenvectors are fundamental concepts in linear algebra. In NumPy, they can be computed using the numpy.linalg.eig function.

How do I use numpy.linalg.eig to find them?

You can use it by passing a square matrix to the function. It returns a tuple containing the eigenvalues and the corresponding eigenvectors.

Can you show me a code example?

Of course! Here's a simple example:

import numpy as np

A = np.array([[4, -2], [1, 1]])
eigenvalues, eigenvectors = np.linalg.eig(A)
print('Eigenvalues:', eigenvalues)
print('Eigenvectors:', eigenvectors)

What if my matrix is not square?

If your matrix is not square, you cannot compute eigenvalues and eigenvectors. You might want to look into singular value decomposition instead.