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Old 2022-04-03, 14:07   #3
Dr Sardonicus
 
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Feb 2017
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Quote:
Originally Posted by bhelmes View Post
<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>
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)]

?
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