Finding the 10th root of a matrix – math.stackexchange.com

Finding the 10th root of a matrix – math.stackexchange.com

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I want to find a $2 \times 2$ matrix, named $A$ in this situation, such that: $$A^{10}=\begin {bmatrix} 1 & 1 \\ 0 & 1 \end {bmatrix} $$ How can I get started? I was thinking about filling ...

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