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sveticcg [70]
3 years ago
14

Evaluate the determinant for the following matrix: 1 4 4 5 2 2 1 5 5

Mathematics
1 answer:
Elina [12.6K]3 years ago
7 0
A Laplace expansion along the first row gives

\begin{vmatrix}1&4&4\\5&2&1\\1&5&5\end{vmatrix}=1\begin{vmatrix}2&1\\5&5\end{vmatrix}-4\begin{vmatrix}5&1\\1&5\end{vmatrix}+4\begin{vmatrix}5&2\\1&5\end{vmatrix}
=1(10-5)-4(25-1)+4(25-2)
=1
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