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Solve Fermat's Last Theorem with matrices
Fermat's Last Theorem states that there is no such triple of positive integers \$(x, y, z)\$ such that
$$x^n + y^n = z^n$$
for all integers \$n > 2\$. However, this conjecture does not hold for integer matrices:
$$\begin{align}
& \left( \begin{matrix} 1 &