Question

How do you determine the characteristic polynomial of a permutation matrix based on the cycle type of the corresponding permutation??

score 3.9k · Answer 1 · 2026-03-25 08:01:51

3.9k

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How do you determine the characteristic polynomial of a permutation matrix based on the cycle type of the corresponding permutation??

Published on 25 Mar 2026 - 8:01

score 191 · Answer 2 · 2026-03-25 08:01:50

191

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What is the dimension of the span over $\mathbb{F}$ of permutation matrices on $n$ elements if $char(\mathbb{F})$ divides $n$?

Published on 25 Mar 2026 - 8:01

score 194 · Answer 3 · 2026-04-10 21:47:01

194

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Transformation of a permutation matrix

Published on 10 Apr 2026 - 21:47

score 1.9k · Answer 4 · 2026-04-16 12:55:16

1.9k

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Permutation matrix and simple directed graph

Published on 16 Apr 2026 - 12:55

score 34.8k · Answer 5 · 2026-04-11 09:29:45

34.8k

Views

Row swap changing sign of determinant

Published on 11 Apr 2026 - 9:29

score 1k · Answer 6 · 2026-04-17 14:09:58

1k

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If permutation matrices are conjugate in $\operatorname{GL}(n,\mathbb{F})$ are the corresponding permutations conjugate in the symmetric group?

Published on 17 Apr 2026 - 14:09

score 296 · Answer 7 · 2026-05-10 13:48:39

296

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What is "cyclic shift unitary" on $M_{n}(\mathbb{C})$?

Published on 10 May 2026 - 13:48

score 70 · Answer 8 · 2026-04-14 12:28:50

70

Views

What's the name of these matrices?

Published on 14 Apr 2026 - 12:28

score 112 · Answer 9 · 2026-04-11 10:15:01

112

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Non-simplifiable permutation matrices

Published on 11 Apr 2026 - 10:15

score 144 · Answer 10 · 2026-04-10 10:46:54

144

Views

Features of permutation matrix

Published on 10 Apr 2026 - 10:46

score 158 · Answer 11 · 2026-04-05 07:18:21

158

Views

Basis for span of tensor power of permutation matrices?

Published on 05 Apr 2026 - 7:18

score 1.3k · Answer 12 · 2020-02-01 17:58:31

1.3k

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From the collection of all permutation matrices of size $10\times10$, one such matrix is randomly picked. What is the expected value of its trace?

Published on 01 Feb 2020 - 17:58

score 849 · Answer 13 · 2026-04-11 02:31:04

849

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Unitary equivalence to permutation matrix

Published on 11 Apr 2026 - 2:31

score 602 · Answer 14 · 2026-04-20 13:41:55

602

Views

Find an orthogonal matrix $P$ such that $PAP^{-1}=B$

Published on 20 Apr 2026 - 13:41

score 799 · Answer 15 · 2026-03-25 08:01:33

799

Views

Number of ways to fill 4 cells in a $4 \times 4$ array under constraints

Published on 25 Mar 2026 - 8:01

List Question

How do you determine the characteristic polynomial of a permutation matrix based on the cycle type of the corresponding permutation??

What is the dimension of the span over $\mathbb{F}$ of permutation matrices on $n$ elements if $char(\mathbb{F})$ divides $n$?

Transformation of a permutation matrix

Permutation matrix and simple directed graph

Row swap changing sign of determinant

If permutation matrices are conjugate in $\operatorname{GL}(n,\mathbb{F})$ are the corresponding permutations conjugate in the symmetric group?

What is "cyclic shift unitary" on $M_{n}(\mathbb{C})$?

What's the name of these matrices?

Non-simplifiable permutation matrices

Features of permutation matrix

Basis for span of tensor power of permutation matrices?

From the collection of all permutation matrices of size $10\times10$, one such matrix is randomly picked. What is the expected value of its trace?

Unitary equivalence to permutation matrix

Find an orthogonal matrix $P$ such that $PAP^{-1}=B$

Number of ways to fill 4 cells in a $4 \times 4$ array under constraints

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