Say we have a prior of a Gaussian with a mean mu and covariance sigma squared,
and our measurement has exactly the same mean and same covariance.
Suppose we multiply both and get a new mean, which is the same as the old mean,
and we get a new covarience, sigma squared,
which as you all know, corresponds to a more peaked Gaussian.
I want you to express nu squared as a multiple of sigma squared.
Just put the answer here as a real number.