$Z_5$: determining inverses of a matrix and not operating on the right field or not finding the correct inverse of the multiplicative inverse using the shortcut equation of inverse of a 2x2 matrix
dividing by $\cos x$ between $x\in [0,2\pi]$
stating the roots of a function is outside the domain (i.e. $x^2 + lnx + 1$ or something along the lines. Cannot have negative roots because negative numbers are outside the domain of $\ln x$