I'm to use transformations and reduce this determinant to an upper or lower triangular one but I don't even know where to begin. $$det \begin{pmatrix} 2 & 2 & 2 & ... & 2 \\ 5 & 4 & 5 & ... & 5 \\ 5 & 5 & 6 & ... & 5 \\ ... & ... & ... & ... & ... \\ 5 & 5 & 5 & ... & 2n \end{pmatrix}$$ Any ideas? What's the first step?
2026-03-26 12:06:44.1774526804
Solve the following nxn determinant by reducing it to a upper/lower triangular determinant
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Subtract the second column from the first one to generate lots of $0$ in the first column.
Try to find columns or rows which by subtraction generate $0$ in columns or rows.
Be careful to follow the rules of effect of the elementary row or column operatons on determinants.