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## Main Question or Discussion Point

Hi,

I would like to ask a question please.

Assume we have a random vector [tex]X[/tex] that is distributed under the Gaussian model and take the inner product of this vector and another constant vector [tex]d[/tex]. Will the source distribution (Gaussian) remain the same? My intuition (although I might be wrong) says yes since the inner product may be regarded as a scaling operation. I know that this is true when we multiply a random variable with a constant, I just wonder if it applies to the inner product as well.

BR,

Alex.

I would like to ask a question please.

Assume we have a random vector [tex]X[/tex] that is distributed under the Gaussian model and take the inner product of this vector and another constant vector [tex]d[/tex]. Will the source distribution (Gaussian) remain the same? My intuition (although I might be wrong) says yes since the inner product may be regarded as a scaling operation. I know that this is true when we multiply a random variable with a constant, I just wonder if it applies to the inner product as well.

BR,

Alex.

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