Linear transforms

As linear transforms are simply multiplications of matrices, you’ve already seen the tools needed to solve these types of problems in the matrices chapter.

Plotting vectors

It can often be beneficial to plot vectors to get a visual representation of your results.

This can be done using the plt.quiver function of matplotlib.

Here is an example:

import numpy as np
import matplotlib.pyplot as plt

V = np.array([[1,1], [-2,2], [4,-7]])
origin = np.array([[0, 0, 0],[0, 0, 0]]) # origin point

plt.quiver(*origin, V[:,0], V[:,1], color=['r','b','g'], scale=21)
plt.show()

Try it out

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