Question: Show the procedure to derive the following two steps in Bayesian learning of a multivariate Gaussian model: a. Completing the square: IM i=1 with x

Show the procedure to derive the following two steps in Bayesian learning of a multivariate Gaussian model:

a. Completing the square:

IM i=1 with x = xi. N (xi - ) 2(x; 1)

IM i=1 with x = xi. N (xi - ) 2(x; 1) = (x x) (x x) + N( x) ( x), i=1 b. (x-x)(x; - x) = tr(((x-x)(x; - x))1) = tr(NS), with S (x-x)(x; - x). =

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