# Conditioning of $2\times2$ matrices¶

This mini-demo gives you the opportunity to play around with the 2-norm condition number of a $2\times 2$ matrix.

• What happens if you choose the columns of the matrix to be nearly linearly dependent?
• What happens if you choose the diagonal entries to be very different in magnitude?
In [1]:
import numpy as np
import numpy.linalg as la

In [3]:
la.cond([
[1.1, 0.1],
[0,  1]
], 2)

Out[3]:
1.1442369886119867
In [ ]: