permutation matrix oor Fins
permutation matrix
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Therefore, any permutation matrix P factors as a product of row-interchanging elementary matrices, each having determinant −1.
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If the permutation has fixed points, so it can be written in cycle form as π = (a1)(a2)...(ak)σ where σ has no fixed points, then ea1,ea2,...,eak are eigenvectors of the permutation matrix.
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