Let  be a symmetric, positive definite matrix. Show that

You may assume known that the result holds true when n = 1. The above shows that the function p : Rⁿ → R with (non-negative) values

integrates to one over the whole space. In fact, it is the density function of a probability distribution called the multivariate Gaussian (or Normal) distribution, with zero mean and covariance matrix ∑. 

Transcribed Image Text:

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