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November 17th, 2014, 09:57 AM   #1
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Determinant computation

$\displaystyle \text{Can someone give me a hint how to compute this determinant using properties (not rule of Sarrus)?}\\

\begin{vmatrix}
-2a & a+b & a+c\\
b+a & -2b & b+c\\
c+a & c+b & -2c
\end{vmatrix}$

Last edited by skipjack; November 18th, 2014 at 05:07 AM.
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November 18th, 2014, 02:00 AM   #2
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It's symmetric. Perhaps there is a property that involves the determinant of symmetric matrices?
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