Mark Peletier schrieb:
> On Fri, 18 Feb 2000, Falk H. Koenemann wrote:
> I tried reading the answer by Falk, but to be honest I didn't
> understand a thing. And I'm a mathematician :-)
???? I don't quite know where you have a problem. I agree entirely with you.
You do know the term 'characteristic equation', do you?
My point is that the concept of e.g. eigenvalues is far more general than you
recognize if you only do matrix operations. Surely you have been exposed to
ordinary linear differential equations? If not, see
Erwin Kreyszig, Advanced engineering mathematics, Wiley & Sons
Back to you for that part, Falk :-)
check for yourself. if the determinant of an nxn matrix is 1, area or volume are
conserved. the matrix
9/10 0
0 -10/9
is orthogonal, and the matrix
1 1
0 1
is degenerate.
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Falk H. Koenemann Aachen, Germany [log in to unmask]
http://home.t-online.de/home/peregrine/hp-fkoe.htm
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