Question: Obtain the maximum likelihood estimates of the mean vector and covariance matrix of a multivariate Gaussian density given (N) observations (mathbf{x}_{1}, ldots, mathbf{x}_{N}).

Obtain the maximum likelihood estimates of the mean vector and covariance matrix of a multivariate Gaussian density given $N$ observations $\mathbf{x}_{1}, \ldots, \mathbf{x}_{N}$.

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