# What is the Jacobian and what is its importance relative to the constant for the multivariate distribution?

Familiar readers should recognize (13) as the exponential part of the multivariate probability distribution where $A$ is positive-definite. In trying to derive the constant for the distribution that makes the integral $1$, the reading brings us to equations (14) and (15).

What is the Jacobian and how does it allow us to rewrite the equation as (15)?

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(note, too, that $|.|$ is used to denote the determinant by some authors)