List questions from orthogonality

Published on 26 Mar 2026 - 17:36

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relationship between rows and columns of an orthogonal matrix

Published on 26 Mar 2026 - 17:36

53

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Orthogonality of fundamental subspaces under arbitrary basis

Published on 14 Aug 2019 - 7:07

164

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Determine the orthogonal projection of $L^2$ onto $\left\{f\in L^2:\int f=0\right\}$

Published on 15 Aug 2019 - 13:37

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Prove: if $W$ is subspace of $V$ and vector $v \in W$, then orthogonal projection of vector $v$ onto $W$ is $v$ itself

Published on 26 Mar 2026 - 8:02

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Calculating the coordinates of a unit vector normal

Published on 18 Aug 2019 - 9:02

89

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Why does such an orthogonal vector exist?

Published on 19 Aug 2019 - 16:55

934

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Using Orthogonality of Legendre Polynomials to determine a Recurrence Relation

Published on 25 Mar 2026 - 8:09

329

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Orthogonal projection in $L^2(\Omega)$ and $W_{0}^{1,2}(\Omega)$

Published on 25 Mar 2026 - 20:50

53

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Orthogonal basis from coefficients without scalar product

Published on 25 Mar 2026 - 6:00

259

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Orthogonal complement of closed subset in Hilbert space

Published on 24 Aug 2019 - 7:26

68

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$U^{\perp_{\mathbb{R}^n}} + W = (W^{\perp_U})^{\perp_{\mathbb{R}^n}}$ - Solution Verification

Published on 26 Aug 2019 - 12:37

217

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An inequality relates to a set of pairwise orthogonal unit vectors

Published on 26 Mar 2026 - 6:14

38

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If the translation of a vector remains orthogonal to a translation of a space?

Published on 29 Aug 2019 - 13:35

211

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Characterizing best approximation of a subspace of inner product space

Published on 30 Aug 2019 - 14:51

List Question

Show orthogonal matrix is invertible

relationship between rows and columns of an orthogonal matrix

Orthogonality of fundamental subspaces under arbitrary basis

Determine the orthogonal projection of $L^2$ onto $\left\{f\in L^2:\int f=0\right\}$

Prove: if $W$ is subspace of $V$ and vector $v \in W$, then orthogonal projection of vector $v$ onto $W$ is $v$ itself

Calculating the coordinates of a unit vector normal

Why does such an orthogonal vector exist?

Using Orthogonality of Legendre Polynomials to determine a Recurrence Relation

Orthogonal projection in $L^2(\Omega)$ and $W_{0}^{1,2}(\Omega)$

Orthogonal basis from coefficients without scalar product

Orthogonal complement of closed subset in Hilbert space

$U^{\perp_{\mathbb{R}^n}} + W = (W^{\perp_U})^{\perp_{\mathbb{R}^n}}$ - Solution Verification

An inequality relates to a set of pairwise orthogonal unit vectors

If the translation of a vector remains orthogonal to a translation of a space?

Characterizing best approximation of a subspace of inner product space

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