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 · 2019-06-18 03:32:52

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 18 Jun 2019 - 3:32

score 190 · Answer 2 · 2019-08-29 14:00:12

190

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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 29 Aug 2019 - 14:00

score 191 · Answer 3 · 2019-09-18 16:26:50

191

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Transformation of a permutation matrix

Published on 18 Sep 2019 - 16:26

score 1.9k · Answer 4 · 2014-03-13 04:56:45

1.9k

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Permutation matrix and simple directed graph

Published on 13 Mar 2014 - 4:56

score 34.8k · Answer 5 · 2014-03-21 20:20:17

34.8k

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Row swap changing sign of determinant

Published on 21 Mar 2014 - 20:20

score 1k · Answer 6 · 2014-10-07 04:33:47

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 07 Oct 2014 - 4:33

score 295 · Answer 7 · 2026-03-25 03:00:53

295

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

Published on 25 Mar 2026 - 3:00

score 65 · Answer 8 · 2014-12-16 01:27:35

65

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What's the name of these matrices?

Published on 16 Dec 2014 - 1:27

score 108 · Answer 9 · 2014-12-16 02:10:30

108

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Non-simplifiable permutation matrices

Published on 16 Dec 2014 - 2:10

score 140 · Answer 10 · 2014-12-28 08:46:14

140

Views

Features of permutation matrix

Published on 28 Dec 2014 - 8:46

score 157 · Answer 11 · 2019-12-12 16:37:57

157

Views

Basis for span of tensor power of permutation matrices?

Published on 12 Dec 2019 - 16:37

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 841 · Answer 13 · 2026-03-23 00:28:52

841

Views

Unitary equivalence to permutation matrix

Published on 23 Mar 2026 - 0:28

score 597 · Answer 14 · 2026-03-23 10:06:42

597

Views

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

Published on 23 Mar 2026 - 10:06

score 798 · Answer 15 · 2020-04-06 06:34:10

798

Views

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

Published on 06 Apr 2020 - 6:34

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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