Question

Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

score 44 · Answer 1 · 2026-03-26 20:41:57

44

Views

Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

Published on 26 Mar 2026 - 20:41

score 130 · Answer 2 · 2026-03-26 09:42:31

130

Views

Are orthogonal positive semidefinite matrices each with trace equal to one necessarily rank-one projections?

Published on 26 Mar 2026 - 9:42

score 107 · Answer 3 · 2020-01-12 07:53:18

107

Views

Definition of Orthogonal Vectors in $\mathbb{C}^n$

Published on 12 Jan 2020 - 7:53

score 42 · Answer 4 · 2026-03-27 00:59:50

42

Views

Let $P_n(x)$, $n=0,1,2,...$ be an infinite set of polynomials satisfying the three conditions

Published on 27 Mar 2026 - 0:59

score 161 · Answer 5 · 2026-03-27 00:58:45

161

Views

show directly that the eigenfunction of the given Sturm-Liouville problem are orthogonal

Published on 27 Mar 2026 - 0:58

score 146 · Answer 6 · 2020-01-13 21:17:28

146

Views

prove of convexity of orthogonal matrix

Published on 13 Jan 2020 - 21:17

score 156 · Answer 7 · 2026-03-28 01:26:04

156

Views

Show that the function is orthogonal

Published on 28 Mar 2026 - 1:26

score 402 · Answer 8 · 2026-03-27 00:59:11

402

Views

Determine all orthonormal vectors (x, y) that are orthogonal to the vector v (2, 8).

Published on 27 Mar 2026 - 0:59

score 210 · Answer 9 · 2020-01-15 12:21:49

210

Views

Is annihilator of a subspace actually the space of inner products on orthogonal vectors

Published on 15 Jan 2020 - 12:21

score 167 · Answer 10 · 2020-01-15 14:25:57

167

Views

Show in Hilbert space: $\|T(h)\| \geq C \|h\|$ for all $h \in (\operatorname{Ker}T)^\perp$ for closed range operator

Published on 15 Jan 2020 - 14:25

score 280 · Answer 11 · 2026-03-25 14:25:12

280

Views

Prove columns of Jacobian Matrix of $T(r,\varphi,\theta) := (r\ \cos \varphi \cos \theta ,\ r\ \sin \varphi \cos \theta ,r\ \sin \theta)$ orthogonal

Published on 25 Mar 2026 - 14:25

score 62 · Answer 12 · 2020-01-18 11:53:24

62

Views

Find projection operator $P_{E}:H\rightarrow E \subset H$, H - Hilbert space

Published on 18 Jan 2020 - 11:53

score 730 · Answer 13 · 2026-03-27 00:58:56

730

Views

Given an $n \times n$ matrix $A$ with orthonormal columns, how does one show that $A$ has orthonormal rows?

Published on 27 Mar 2026 - 0:58

score 285 · Answer 14 · 2026-03-27 00:57:03

285

Views

Prove orthonormality and write $x$ as a linear combination, with

Published on 27 Mar 2026 - 0:57

score 224 · Answer 15 · 2020-01-19 20:42:56

224

Views

Determinant as measure of overall orthogonality of columns

Published on 19 Jan 2020 - 20:42

List Question

Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

Are orthogonal positive semidefinite matrices each with trace equal to one necessarily rank-one projections?

Definition of Orthogonal Vectors in $\mathbb{C}^n$

Let $P_n(x)$, $n=0,1,2,...$ be an infinite set of polynomials satisfying the three conditions

show directly that the eigenfunction of the given Sturm-Liouville problem are orthogonal

prove of convexity of orthogonal matrix

Show that the function is orthogonal

Determine all orthonormal vectors (x, y) that are orthogonal to the vector v (2, 8).

Is annihilator of a subspace actually the space of inner products on orthogonal vectors

Show in Hilbert space: $\|T(h)\| \geq C \|h\|$ for all $h \in (\operatorname{Ker}T)^\perp$ for closed range operator

Prove columns of Jacobian Matrix of $T(r,\varphi,\theta) := (r\ \cos \varphi \cos \theta ,\ r\ \sin \varphi \cos \theta ,r\ \sin \theta)$ orthogonal

Find projection operator $P_{E}:H\rightarrow E \subset H$, H - Hilbert space

Given an $n \times n$ matrix $A$ with orthonormal columns, how does one show that $A$ has orthonormal rows?

Prove orthonormality and write $x$ as a linear combination, with

Determinant as measure of overall orthogonality of columns

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