41CL Quiz: Determinant of 30x30 anti-Identity matrix

[Valentin Albillo]

(05-19-2018 12:33 AM)Gene Wrote:  I should have said for these matrices as specified here. Some with only the 0 and 1 elements which **ought** to be an integer answer are getting round off with 0 and 1's.

Can we really have a pivot that isn't a 0 or 1 in this case?

But of course. For the "anti-identity" matrices, the first that gives a non-integer determinant is the 5x5 case (12-digit HP-71B/Math ROM, 15-digit internally.)

Using a short routine I wrote, for general (0,1) square matrices I've readily found 5x5 and 4x4 cases with non-integer determinants, some of them quite peculiar.

Ditto for (1,3) 2x2 matrices, and so on and so forth ...

Regards.
V.