[R] about the determinant of a symmetric compound matrix

From: Stefano Sofia <stefano.sofia_at_regione.marche.it>
Date: Tue 26 Sep 2006 - 12:18:16 GMT

Dear R users,
even if this question is not related to an issue about R, probably some of you will be able to help me.

I have a square matrix of dimension k by k with alpha on the diagonal and beta everywhee else. This symmetric matrix is called symmetric compound matrix and has the form a( I + cJ),
I is the k by k identity matrix
J is the k by k matrix of all ones
a = alpha - beta
c = beta/a

I need to evaluate the determinant of this matrix. Is there any algebric formula for that?

thank you for your help

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