Quote:
Originally Posted by bhelmes
<snip>
but the other matrixs mod p, with p=1 mod 4 contain elements which do not "lead" to the identity matrix:
For example: p:=37 (16, 23, 23, 33)^(36*38)=/=(1,0,0,1).
Why ? or is it a bug ?
<snip>
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It's a bug. I note also that the determinant of your matrix isn't 1 (mod 37), but is rather Mod(24,37).
Code:
? M=Mod(1,37)*[16,23;23,23]
%1 =
[Mod(16, 37) Mod(23, 37)]
[Mod(23, 37) Mod(23, 37)]
? M^(36*38)
%2 =
[Mod(1, 37) Mod(0, 37)]
[Mod(0, 37) Mod(1, 37)]
?