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 September 17th, 2011, 05:04 AM #1 Newbie   Joined: Sep 2011 Posts: 6 Thanks: 0 determinant i have another one 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.. and calculating the determinant without elimination is kinda painful. $\begin{bmatrix} 0 &-a &-b &-d \\ a &0 &-c &-e \\ b&c &0 &0 \\ d& e & 0& 0 \end{bmatrix}$
 September 17th, 2011, 06:34 AM #2 Global Moderator     Joined: Nov 2009 From: Northwest Arkansas Posts: 2,766 Thanks: 4 Re: determinant Of course! I would recommend cofactor expansion along (row or column) (3 or 4). This will leave only two 3x3 determinants to calculate.
 September 17th, 2011, 08:10 AM #3 Newbie   Joined: Sep 2011 Posts: 6 Thanks: 0 Re: determinant yes, but i can't see how is possible to get another 0 in 3 or 4 (row or column)
 September 18th, 2011, 03:12 AM #4 Newbie   Joined: Sep 2011 Posts: 6 Thanks: 0 Re: determinant could anyone solve this for me?
 September 18th, 2011, 08:36 PM #5 Newbie   Joined: Sep 2011 Posts: 8 Thanks: 0 Re: determinant I don't know but these links should give you some guidance: Skew-symmetric matrix Pfaffian
September 18th, 2011, 08:44 PM   #6
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Re: determinant

Quote:
 Originally Posted by Sol I don't know but these links should give you some guidance: Skew-symmetric matrix Pfaffian
If the solution can't be determined from that second link (good one, by the way), then there might be no hope!

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