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a-C-determinant-a-1-1-1-1-1-1-a-




Question Number 187401 by aba last updated on 16/Feb/23
a∈C   determinant (((a   1    …   1)),((1   ⋱  ⋱  ⋮)),((⋮  ⋱  ⋱  1)),((1    …    1   a)))=?
$$\mathrm{a}\in\mathbb{C} \\ $$$$\begin{vmatrix}{\mathrm{a}\:\:\:\mathrm{1}\:\:\:\:\ldots\:\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\ddots\:\:\ddots\:\:\vdots}\\{\vdots\:\:\ddots\:\:\ddots\:\:\mathrm{1}}\\{\mathrm{1}\:\:\:\:\ldots\:\:\:\:\mathrm{1}\:\:\:\mathrm{a}}\end{vmatrix}=? \\ $$

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