Consider a matrix of order n$n$ whose elements are independently and uniformly chosen from the interval [a,b]$[a,b]$ wher both a$a$ and b$b$ are positive .Let X$X$ be the r.v. corresponding to the determinant of this matrix.I am interested in knowing the following about X$X$
(1).the mi. and the max. of X
$X$
(2) the pdf of X$X$