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Re: Determinant of a matrix [message #86575 is a reply to message #86574]

Wed, 20 November 2013 06:57

fd_luni
Messages: 66
Registered: January 2013

Member

> What you are asking for is the rank of your matrix (i.e., mathematically, the number of independent columns). Matrix rank can be determined by singular value decomposition: the rank is the number of singular values which are not zero. In IDL, you can write:
>
>
>
> if A is your matrix:
>
> IDL> LA_SVD, A, W, U, V
>
> IDL> rank_of_A = N_elements(W[where(W ne 0)])
>
>
>
> alx.

I got 4 singular values so the rank(A)=4? This means that the four rows are linearly independent? The eigenvalues are look like this:
235042.27 10979.266 286.59332 7.6813673

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[Message index]

		Determinant of a matrix By: fd_luni on Wed, 20 November 2013 04:09
		Re: Determinant of a matrix By: Fabzi on Wed, 20 November 2013 04:44
		Re: Determinant of a matrix By: fd_luni on Wed, 20 November 2013 04:58
		Re: Determinant of a matrix By: lecacheux.alain on Wed, 20 November 2013 05:37
		Re: Determinant of a matrix By: fd_luni on Wed, 20 November 2013 06:57
		Re: Determinant of a matrix By: fd_luni on Wed, 20 November 2013 06:59
		Re: Determinant of a matrix By: Craig Markwardt on Wed, 20 November 2013 07:40
		Re: Determinant of a matrix By: fd_luni on Wed, 20 November 2013 07:53
		Re: Determinant of a matrix By: Craig Markwardt on Wed, 20 November 2013 08:33
		Re: Determinant of a matrix By: Mats Löfdahl on Wed, 20 November 2013 08:46
		Re: Determinant of a matrix By: Paul Van Delst[1] on Wed, 20 November 2013 09:04
		Re: Determinant of a matrix By: Craig Markwardt on Wed, 20 November 2013 18:33
		Re: Determinant of a matrix By: Paul Van Delst[1] on Thu, 21 November 2013 05:20

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