Re: Murphy for Matrices

Am 26.06.2008 13:17 schrieb Hauke Reddmann:
So I needed a random matrix the other day, 4*4.
Lesse, my head hurts, no point being creative,
first row 1,2,3,4
second row 1,2,4,8
third row 2,3,5,7
fourth will be totally random, just to be safe 1,-1,0,1
M^-1...FRELL!

Corollary: Any random matrix is singular :-)

Question: can a singular matrix truly be random?
(well, with the same probability, that one of n
random eigenvalues exactly = 0) ;-)

Gottfried
.

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