I want to find the determinant of $$ \begin{pmatrix} 1/(n+1) & 1/n & \cdots & 1\\ 1/(n+2) & 1/(n+1) & \cdots & 1/2\\ \vdots & \vdots & \ddots & \vdots\\ 1/(2n+2) & 1/(2n+1) & \cdots & 1/(n+2) \end{pmatrix}.$$ More preciesly, I hope to show that this matrix has a nonzero determinant. How I prove this?
2026-04-04 12:43:53.1775306633
Determinant of this special matrix
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