These equations are solved with just an inverse and a multiply. Hopefully the exercise was less painful than solving things by hand. The true power is in solving problems that are larger. If the numbers of unknowns and equations equaled 10, it would be difficult to solve the problem by hand. I am saving that for the next article.
Visualization can be very useful.
In the following plot, the green and red lines are those of the equations above. More to Come In upcoming articles we will explore more useful matrix manipulations with NumPy. You may find the 2D graph above uninspiring, but check out this graph of 3D information. The peaks actually rise to infinity and were clipped for plotting purposes. While you are waiting for next month's article, here is where you can find out more.