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MathNet 2016-part-04 — 184 problems (EN–VI) Question 27

Math Olympiad Vault · MathNet 2016-part-04 — 184 problems (EN–VI)

Question 27

Solve in $M_{2}(\mathbb{R})$ the equation: $X^{n}=\left(\begin{array}{ll}3 & 1 \\ 6 & 2\end{array}\right),\ n \in \mathbb{N}^{*}$