List questions from permutation-matrices

Published on 11 May 2026 - 1:18

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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 25 Mar 2026 - 11:16

118

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

Published on 25 Mar 2026 - 14:22

136

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

Published on 25 Mar 2026 - 11:12

58

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Uniqueness of orthogonal "permuting" matrices

Published on 10 May 2026 - 19:12

261

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Deciding whether a binary matrix contains a permutation matrix

Published on 09 Apr 2026 - 13:32

970

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Find permutation matrix that minimizes a Frobenius norm

Published on 12 Apr 2026 - 15:08

3.5k

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Properties of a permutation matrix

Published on 09 Apr 2026 - 5:31

775

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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 15 Apr 2026 - 15:14

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What are the properties of eigenvalues of permutation matrices?

Published on 09 Apr 2026 - 20:32

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LU decomposition; do permutation matrices commute?

Published on 11 Apr 2026 - 6:42

4.7k

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Permutation matrix and LU decomposition

Published on 10 May 2026 - 19:11

1.9k

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Number of permutations of matrices with unique rows and columns

Published on 14 Apr 2026 - 4:16

162

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SVD: Picking U and V when singular values are repeated

Published on 25 Mar 2026 - 12:46

47

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

Published on 25 Mar 2026 - 11:11

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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