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Storing permutation matrix in a vector form

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Prove that the determinant of a swap matrix is $-1$

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How to find a $3\times 3$ permutation matrix?

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Can you completely permute the elements of a matrix by applying permutation matrices?

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Finding eigenvalues and there properties of permutation matrix

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696
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How do you find all solutions to the matrix equation $XAX=A^T$?

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#linear-algebra #matrices #systems-of-equations #matrix-equations #permutation-matrices
315
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Project an orthogonal matrix onto the Birkhoff Polytope

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Nearest signed permutation matrix to a given matrix $A$

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#matrices #optimization #discrete-optimization #permutation-matrices
182
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Permutation and permutation matrices

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#permutations #permutation-cycles #permutation-matrices
670
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Diagonalize the cyclic shift operator

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#matrices #eigenvalues-eigenvectors #diagonalization #permutation-matrices #circulant-matrices
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Characterisation of permutation matrices

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#linear-algebra #abstract-algebra #matrices #permutations #permutation-matrices
796
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Matrix similar to permutation matrix

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210
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When is the permutation matrix unique?

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952
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Conditions when a permutation matrix is symmetric

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175
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Similar matrix that is the same by permutation transformation of its own.

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#matrices #graph-theory #graph-isomorphism #adjacency-matrix #permutation-matrices

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