/sci/ - Science & Math

So the thing is, as is, I don't think this works.
You can take
[eqn]a = \begin{array}{cc} 0 & 1 \\ 0 & 0 \\ \end{array} [/eqn]
[eqn]b = \begin{array}{cc} 0 & 0 \\ 1 & 0 \\ \end{array} [/eqn]
And then it's easy to see that [math]a^2 = b^2 = 0[/math], and finally we can take [math]m = 3[/math] or whatever other odd integer larger than two.
I essentially just want someone to confirm I'm not going insane.