Problem based on the gaussian vector
Solve the following problem:
Show that if X is a Gaussian vector, the random vector Y = AX, where the invertible matrix A represents a linear transformation, is also a Gaussian vector whose mean and covariance matrix are given by
my = AmxCy = ACxAt
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Show that if X is a Gaussian vector, the random vector Y = AX, where the invertible matrix A represents a linear transformation, is also a Gaussian vector.
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