List questions from permutation-matrices

Published on 10 Jul 2020 - 13:41

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What are some intuitive ways to find a $3 \times 3$ permutation matrix with $P^3 = I$, $P \ne I $?

Published on 16 Jul 2020 - 8:15

117

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Is a convex set of permutation matrices $n\times n$ ($\mathbb{P}_{n}\cap \mathbb{C}$) a singleton?

Published on 21 Jul 2020 - 21:42

135

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Can a nonsingular matrix be column-permuted so that the diagonal blocks are nonsingular?

Published on 22 Jul 2020 - 16:32

56

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Uniqueness of orthogonal "permuting" matrices

Published on 30 Jul 2020 - 13:15

260

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Deciding whether a binary matrix contains a permutation matrix

Published on 23 Feb 2026 - 8:29

967

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Find permutation matrix that minimizes a Frobenius norm

Published on 06 Aug 2016 - 15:32

3.5k

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Properties of a permutation matrix

Published on 08 Sep 2016 - 1:35

773

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Prove that the set of $n \times n$ permutation matrices is subgroup of $n \times n$ real orthogonal matrices.

Published on 04 Oct 2016 - 17:29

16.7k

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What are the properties of eigenvalues of permutation matrices?

Published on 16 Oct 2016 - 9:03

5.3k

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LU decomposition; do permutation matrices commute?

Published on 04 Dec 2016 - 14:17

4.7k

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Permutation matrix and LU decomposition

Published on 26 Dec 2016 - 14:30

1.9k

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Number of permutations of matrices with unique rows and columns

Published on 12 Mar 2017 - 17:01

161

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SVD: Picking U and V when singular values are repeated

Published on 25 Apr 2023 - 15:49

46

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Permutation matrix inverse in $\{ P, P^2, P^3, \dots, P^n \}$

Published on 29 Apr 2023 - 1:28

List Question

Prove that every permutation matrix satisfies its characteristic polynomial.

What are some intuitive ways to find a $3 \times 3$ permutation matrix with $P^3 = I$, $P \ne I $?

Is a convex set of permutation matrices $n\times n$ ($\mathbb{P}_{n}\cap \mathbb{C}$) a singleton?

Can a nonsingular matrix be column-permuted so that the diagonal blocks are nonsingular?

Uniqueness of orthogonal "permuting" matrices

Deciding whether a binary matrix contains a permutation matrix

Find permutation matrix that minimizes a Frobenius norm

Properties of a permutation matrix

Prove that the set of $n \times n$ permutation matrices is subgroup of $n \times n$ real orthogonal matrices.

What are the properties of eigenvalues of permutation matrices?

LU decomposition; do permutation matrices commute?

Permutation matrix and LU decomposition

Number of permutations of matrices with unique rows and columns

SVD: Picking U and V when singular values are repeated

Permutation matrix inverse in $\{ P, P^2, P^3, \dots, P^n \}$

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