that matrix a here are some examples of this worked out so the slides can just work through what it looks like when you have a prior so there are some points shown in blue the true relation is shown in green so that's what we were hoping to recover but the data is noisy so the maximum likely this within a small amount of data shown in red is actually pretty far off from green but if it had a prior that in this case thinks the coefficients are more likely to be small rather than be large it'll kind of regularize that and you'll find the