Hello, I was investigating the behaviour of Mathematica with matrices, and found the following very strange fact.
For the following matrix V = 5 {{0.0030, 0.0008}, {0.0008, 0.0037}}
with some very nice Eigenvalues[V] {0.0211161, 0.0123839}
the two ways of calculation give very different results Log[Det[V]] // FullForm -8.249076274459297 Tr[Log[V]] // FullForm -8.189689624777785
I wonder what is the nature of such huge discrepancy in whats should have been equal?