Mathematics, 20.09.2019 16:30 Nonniel0v3
Find the determinant of the nxn matrix a with 5's on the diagonal, l's above the diagonal, and o's below the diagonal. det (a) =
Answers: 3
![det\left[\begin{array}{cccc}5&a_{12}&a_{13}...&a_{1n}\\0&5&a_{23}...&a_{2n}\\...&...&...&...\\0&0&0&5\end{array}\right] =5+det\left[\begin{array}{ccc}5&a_{23}...&a_{2n}\\0&5&a_{3n}\\...&...&...\\0&0&5\end{array}\right]=5+5+...+det\left[\begin{array}{cc}5&a_{n-1,n}\\0&5\end{array}\right]=5+5+...+5+5\;(n\;times)](/tpl/images/0246/7175/43291.png)
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Find the determinant of the nxn matrix a with 5's on the diagonal, l's above the diagonal, and o's b...
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