Test of Matrix Class, using magic squares.

See MagicSquareExample.main() for an explanation.

n	trace	max_eig	rank	cond	lu_res	qr_res
3	15	15	3	4.330	0.000	11.333
4	34	34	3	Inf	0.000	13.500
5	65	65	5	5.462	0.000	14.400
6	111	111	5	Inf	5.333	16.000

Elapsed time is 0.0256 seconds.