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From Gregory and Krishnamurthy's book (p.2-3),
the following matrix has determinant 1:

	-73	78	24

  A =	92	66	25

	-80	37	10

But if we add

	0	0	0

  E =	0	0	0

	0	0	1/100

then det(A+E) = -118.94


