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 October 10th, 2011, 10:40 AM #1 Member   Joined: Aug 2011 From: student Posts: 55 Thanks: 0 determinant To calculate the determinant of the following matrix, I would like to ask is it possible to eliminate any lines, because I don't see how 1) $\displaystyle \begin{vmatrix} a & -a & a \\ a & a & -a \\ a & -a & -a \end{vmatrix}$ Last edited by skipjack; August 15th, 2019 at 05:26 AM.
 October 10th, 2011, 10:50 AM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: determinant By subtracting the third row from the second, you have (0 2a 0) for the second row. Then doing cofactor expansion will be a breeze.

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