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November 17th, 2014, 09:57 AM  #1 
Newbie Joined: Aug 2012 Posts: 22 Thanks: 0  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. 
November 18th, 2014, 02:00 AM  #2 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,161 Thanks: 734 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
It's symmetric. Perhaps there is a property that involves the determinant of symmetric matrices?


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