Question: 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

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

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

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.

\\( A=\\left[\\begin{array}{cc}-6 & 6 \\\\ 6 & -3\\end{array}\ ight] \\)

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