Question

Subspaces invariant under orthogonal similarity transformations

score 234 · Answer 1 · 2017-11-29 17:53:13

234

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Subspaces invariant under orthogonal similarity transformations

Published on 29 Nov 2017 - 17:53

score 37 · Answer 2 · 2017-11-30 21:28:49

37

Views

Existence of a particular matrix $A$ $\in \mathrm{SO}(\mathbb{R}^n)$

Published on 30 Nov 2017 - 21:28

score 262 · Answer 3 · 2026-03-25 19:24:59

262

Views

Condition number is less than n

Published on 25 Mar 2026 - 19:24

score 1k · Answer 4 · 2017-12-04 18:47:52

1k

Views

Proving subgroup of $SO(2)$ with $n$ elements is unique?

Published on 04 Dec 2017 - 18:47

score 31 · Answer 5 · 2017-12-06 05:47:35

31

Views

Show that the matrix $P=I-2hh^T$ is orthogonal and find its first column.

Published on 06 Dec 2017 - 5:47

score 124 · Answer 6 · 2017-12-11 16:51:40

124

Views

prove that the symmetric projection is always orthogonal.

Published on 11 Dec 2017 - 16:51

score 8.4k · Answer 7 · 2017-12-11 22:42:25

8.4k

Views

Can we prove that the eigenvalues of an $n\times n$ orthogonal matrix are $\pm 1$ by only using the definition of orthogonal matrix?

Published on 11 Dec 2017 - 22:42

score 401 · Answer 8 · 2017-12-12 00:20:44

401

Views

Prove that a real $2 \times 2$ matrix is orthogonal if and only if it is of one of the following forms: Proof Review And Possible Author Error?

Published on 12 Dec 2017 - 0:20

score 43 · Answer 9 · 2017-12-12 21:08:51

43

Views

Values of $n$ so that exist a matrix $A\neq 0$ so that $Ax$ is orthogonal a $x$ for all $x\in \mathbb{R}^n$.

Published on 12 Dec 2017 - 21:08

score 119 · Answer 10 · 2017-12-17 20:40:39

119

Views

Linear algebra proof on orthogonal diagonalization

Published on 17 Dec 2017 - 20:40

score 133 · Answer 11 · 2017-12-21 10:35:25

133

Views

Finding a special orthogonal matrix to generate pentadiagonal matrix

Published on 21 Dec 2017 - 10:35

score 116 · Answer 12 · 2017-12-21 22:39:11

116

Views

Orthonormal matrices and spectral norm

Published on 21 Dec 2017 - 22:39

score 353 · Answer 13 · 2017-12-22 15:29:59

353

Views

Maximize function on orthogonal matrices

Published on 22 Dec 2017 - 15:29

score 1.6k · Answer 14 · 2026-03-28 10:04:33

1.6k

Views

Show that the special orthogonal group $SO_n(\mathbb{R})$ is arcwise connected and compact

Published on 28 Mar 2026 - 10:04

score 425 · Answer 15 · 2026-03-26 04:28:59

425

Views

Gram-Schmidt orthogonalization: Dealing with Complex numbers

Published on 26 Mar 2026 - 4:28

List Question

Subspaces invariant under orthogonal similarity transformations

Existence of a particular matrix $A$ $\in \mathrm{SO}(\mathbb{R}^n)$

Condition number is less than n

Proving subgroup of $SO(2)$ with $n$ elements is unique?

Show that the matrix $P=I-2hh^T$ is orthogonal and find its first column.

prove that the symmetric projection is always orthogonal.

Can we prove that the eigenvalues of an $n\times n$ orthogonal matrix are $\pm 1$ by only using the definition of orthogonal matrix?

Prove that a real $2 \times 2$ matrix is orthogonal if and only if it is of one of the following forms: Proof Review And Possible Author Error?

Values of $n$ so that exist a matrix $A\neq 0$ so that $Ax$ is orthogonal a $x$ for all $x\in \mathbb{R}^n$.

Linear algebra proof on orthogonal diagonalization

Finding a special orthogonal matrix to generate pentadiagonal matrix

Orthonormal matrices and spectral norm

Maximize function on orthogonal matrices

Show that the special orthogonal group $SO_n(\mathbb{R})$ is arcwise connected and compact

Gram-Schmidt orthogonalization: Dealing with Complex numbers

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