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eigenvalue & eigenvector

Hello at all! I must get from an image eigenvalues and eigenvectors to realize person detect with colors. How can I obtain eigenvalues and eigenvectors? The results are as the trace of matrix S where to each color band I use partial derivatives rx, ry, gx, gy, bx, by for the (r)ed, (g)reen and (b)lue bands?

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thanks for your time!