Question

Are all matrices $A$ with $A^T=A^{-1}$ permutation matrices?

score 64 · Answer 1 · 2026-03-26 17:30:28

64

Views

Are all matrices $A$ with $A^T=A^{-1}$ permutation matrices?

Published on 26 Mar 2026 - 17:30

score 57 · Answer 2 · 2022-10-24 22:46:29

57

Views

Finding an orthogonal basis of a union of two subspaces quickly

Published on 24 Oct 2022 - 22:46

score 35 · Answer 3 · 2026-04-02 08:48:36

35

Views

Show that $\mathrm{O}(q)$ is the union of a set of vector symmetries and the set of applications $\gamma_a$

Published on 02 Apr 2026 - 8:48

score 18 · Answer 4 · 2022-11-08 17:04:03

18

Views

Inconsistency with multiplication of different size of orthogonal matrices

Published on 08 Nov 2022 - 17:04

score 607 · Answer 5 · 2022-11-09 23:38:59

607

Views

Prove that [O(2), O(2)] = SO(2). The commutator subgroup of the ortogonal group is equal to the special orthogonal group.

Published on 09 Nov 2022 - 23:38

score 514 · Answer 6 · 2026-03-29 05:44:15

514

Views

Is the external direct product of O(2) with itself isomorphic to O(2)? (Orthogonal group of 2 x 2 M-matrices)

Published on 29 Mar 2026 - 5:44

score 192 · Answer 7 · 2022-11-15 00:08:58

192

Views

If an orthogonal matrix represents a reflection, show that it is symmetric.

Published on 15 Nov 2022 - 0:08

score 49 · Answer 8 · 2022-11-16 16:50:47

49

Views

Is there are a $3 \times 3$ real, orthogonal matrix $Q$ that has exactly three zero entries?

Published on 16 Nov 2022 - 16:50

score 56 · Answer 9 · 2022-11-17 08:13:09

56

Views

Row (or column) sums of orthogonal matrix (excluding scalar multiples of identity matrix) always different

Published on 17 Nov 2022 - 8:13

score 47 · Answer 10 · 2026-03-21 16:17:05

47

Views

Prove existance of orthonormal basis of $\mathbb{R}^3$ consisting of eigenvectors of generalized eigenvalue equation

Published on 21 Mar 2026 - 16:17

score 76 · Answer 11 · 2022-11-28 20:16:13

76

Views

Extension of Wahba’s problem with infinite weights

Published on 28 Nov 2022 - 20:16

score 30 · Answer 12 · 2022-12-05 06:19:35

30

Views

What should be the value of $p,q,r,s,$ and $t$ so that the following matrix is orthogonal?

Published on 05 Dec 2022 - 6:19

score 40 · Answer 13 · 2026-04-01 17:11:30

40

Views

Existence of orthonormal matrix

Published on 01 Apr 2026 - 17:11

score 107 · Answer 14 · 2022-12-07 19:20:14

107

Views

For orthogonal matrices $A$ and $B$, does $ABAB=BABA$ imply $A$ and $B$ commute?

Published on 07 Dec 2022 - 19:20

score 60 · Answer 15 · 2022-12-07 21:29:05

60

Views

What sets of orthogonal matrices $A$ and $B$ satisfy $AABBAB=BBAABA$?

Published on 07 Dec 2022 - 21:29

List Question

Are all matrices $A$ with $A^T=A^{-1}$ permutation matrices?

Finding an orthogonal basis of a union of two subspaces quickly

Show that $\mathrm{O}(q)$ is the union of a set of vector symmetries and the set of applications $\gamma_a$

Inconsistency with multiplication of different size of orthogonal matrices

Prove that [O(2), O(2)] = SO(2). The commutator subgroup of the ortogonal group is equal to the special orthogonal group.

Is the external direct product of O(2) with itself isomorphic to O(2)? (Orthogonal group of 2 x 2 M-matrices)

If an orthogonal matrix represents a reflection, show that it is symmetric.

Is there are a $3 \times 3$ real, orthogonal matrix $Q$ that has exactly three zero entries?

Row (or column) sums of orthogonal matrix (excluding scalar multiples of identity matrix) always different

Prove existance of orthonormal basis of $\mathbb{R}^3$ consisting of eigenvectors of generalized eigenvalue equation

Extension of Wahba’s problem with infinite weights

What should be the value of $p,q,r,s,$ and $t$ so that the following matrix is orthogonal?

Existence of orthonormal matrix

For orthogonal matrices $A$ and $B$, does $ABAB=BABA$ imply $A$ and $B$ commute?

What sets of orthogonal matrices $A$ and $B$ satisfy $AABBAB=BBAABA$?

Trending Questions

Popular # Hahtags

Popular Questions