Generalized permutation matrix: Difference between revisions

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signed permutation matrix
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An interesting theorem states the following: If a nonsingular matrix and its inverse are both nonnegative matrices (i.e. matrices with nonnegative entries), then the matrix is a generalized permutation matrix.
 
A '''signed permutation matrix''' is a generalized permutation matrix whose nonzero entries are ±1.
 
==Group theory==