Question: 1. Find the eigenvalues and normalized eigenvectors (i.e. length of 1) for the following matrix: Show that the dot product of the eigenvectors is zero

1. Find the eigenvalues and normalized eigenvectors (i.e. length of 1) for the following matrix:

Show that the dot product of the eigenvectors is zero and therefore orthogonal. In two to three sentences, briefly explain what one may use eigenvalue decomposition for in finance.

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