How is the range of multivariate gaussian probability density function scalar?

crazygbyo

crazygbyo

Open question

2022-08-19

f X ( x 1 , , x k ) = exp ( 1 2 ( x μ ) T Σ 1 ( x μ ) ) ( 2 π ) k | Σ |
I believe x 1 , . . . x k R d
How is range of f X a scalar?

Answer & Explanation

Aspen Beard

Aspen Beard

Beginner2022-08-20Added 9 answers

Note that
( x μ ) T 1 × k Σ 1 k × k ( x μ ) k × 1
is scalar. Also, | Σ | , i.e. the determinant of Σ, is also scalar

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?