Ononot — Let A be the 5 \times 5 matrix: A = \begin{pmatrix} 1 & i &

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Determinantshard

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Let $A$ be the $5 \times 5$ matrix: $A = \begin{pmatrix} 1 & i & 0 & 0 & 0 \\ i & 1 & i & 0 & 0 \\ 0 & i & 1 & i & 0 \\ 0 & 0 & i & 1 & i \\ 0 & 0 & 0 & i & 1 \end{pmatrix}$ where $i^2 = -1$ . Find $\det(A)$ .