# LaTeX and WordPress (in the wild)

Apparently, you can use LaTeX in wordpress. Alright, he is a practice problem I was working on for my exam in two weeks.

Let with where is a identity matrix and is a matrix of ones. Find the eigenvalues of .

We seek such that where is the determinant of a matrix

Now this is merely the equation for determining the eigenvalues of . Since, is idempotent the eigenvalues of must be either zero or one. In fact, since this matrix has rank one, has eigenvalues one with multiplicity one and zero with multiplicity . Therefore the eigenvalues of can be found by setting and . This yields with multiplicity and with multiplicity which are exactly the eigenvalues of .

Cheers.

Posted on February 9, 2010, in Uncategorized. Bookmark the permalink. 1 Comment.

This article was very useful for a paper I am writing for my thesis.

Thanks

Bernice Franklin

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