How can I place a table on a plot in Matplotlib?

I’m not having any success in getting the matplotlib table commands to work. Here’s an example of what I’d like to do:

Can anyone help with the table construction code? Thanks

import pylab as plt

plt.figure()
ax=plt.gca()
y=[1,2,3,4,5,4,3,2,1,1,1,1,1,1,1,1]
plt.plot([10,10,14,14,10],[2,4,4,2,2],'r')
col_labels=['col1','col2','col3']
row_labels=['row1','row2','row3']
table_vals=[11,12,13,21,22,23,31,32,33]
# the rectangle is where I want to place the table
plt.text(11,4.1,'Table Title',size=8)
plt.plot(y)
plt.show()