MathGroup Archive 2004

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zero eigenvalues and corresponding eigenvectors of a square and a rectangular matrice

for example I have a image matrice. And I'm trying to find its eigen
matrice using the image as a matrice not as a vector. For a 3x3 image
if we turn the image matrice into vector form we can find 9 eigen
vectors which some of them have zero eigenvalue. But in matrice form
we can find only 3 eigenvectors. But can I find the zero eigenvectors
which have zero eigenvalue which corresponds in the vector form.I'm
trying to find zero eigenvalues and their eigenvectors for an image
matrice when using image as a matrice not as a vector.

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