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),
where
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
Stefano



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