#!/usr/bin/env python
# coding: utf-8
# # 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)
# In[ ]: