If not, what's the smallest multiple of 12 (after 12) where this fails to be the case?

So it turns out that this ε is equivalent to the nilpotent matrix [[-1,0],[0,0]] and these pairs (a+bε) are similarly equivalent to the matrix form [[a-b,0],[0,b]]. Nothing special, but still an interesting little toy.
#maths #math

It seems to be fairly robust and work similarly to Dual numbers, but there are some critical differences.

For example, the "conjugate" of (a+bε) in this system would appear to be (b-a+bε).

#maths #math (2/2)