List questions from inner-products

Published on 14 Apr 2026 - 13:32

219

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$I - H$ is a projection matrix

Published on 11 Apr 2026 - 9:15

214

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Restrictions of a linear function and its representative matrix

Published on 11 Apr 2026 - 4:02

93

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Orthonormal basis in a space with an isotropic inner product

Published on 15 Apr 2026 - 10:58

41

Views

Proving that $\|z\| \leq \|z-y\|$ for all $y\in F\implies z \perp F$

Published on 16 Apr 2026 - 1:35

78

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Using Gram-Schmidt on independent vectors to find a special vector $w$

Published on 16 Apr 2026 - 9:09

48

Views

How to solve dot products simultaneously?

Published on 05 May 2026 - 1:11

71

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show that for every independent vectors $u,v\neq0$ there exist w such that $\left\langle u,w\right\rangle <0,\left\langle v,w\right\rangle >0$

Published on 16 Apr 2026 - 3:09

62

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Projecting unit $\ell_p$ vector onto $\ell_2$ and measuring distortion in $\ell_p$

Published on 17 Apr 2026 - 13:40

221

Views

Weak Convergence in Hilbert Spaces & Inner Product

Published on 11 Apr 2026 - 22:17

120

Views

Does a vector space need a quadratic form in order to define a wedge product?

Published on 13 Apr 2026 - 14:25

112

Views

spectral norm of PSD matrices and inner product

Published on 14 Apr 2026 - 8:40

81

Views

Questions about the dot products of a unit cube

Published on 15 Apr 2026 - 10:37

46

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Find $k$ maximally-orthogonal/minimally-correlated vectors on an $n$-sphere

Published on 14 Apr 2026 - 14:35

57

Views

Let $x$ is the angle of the diagonal lines of a unit cube, then what are the possible values of $\cos x$?

Published on 14 Apr 2026 - 9:45

List Question

Proof or confutation that a matrix is positive semidefinite

$I - H$ is a projection matrix

Restrictions of a linear function and its representative matrix

Orthonormal basis in a space with an isotropic inner product

Proving that $\|z\| \leq \|z-y\|$ for all $y\in F\implies z \perp F$

Using Gram-Schmidt on independent vectors to find a special vector $w$

How to solve dot products simultaneously?

show that for every independent vectors $u,v\neq0$ there exist w such that $\left\langle u,w\right\rangle <0,\left\langle v,w\right\rangle >0$

Projecting unit $\ell_p$ vector onto $\ell_2$ and measuring distortion in $\ell_p$

Weak Convergence in Hilbert Spaces & Inner Product

Does a vector space need a quadratic form in order to define a wedge product?

spectral norm of PSD matrices and inner product

Questions about the dot products of a unit cube

Find $k$ maximally-orthogonal/minimally-correlated vectors on an $n$-sphere

Let $x$ is the angle of the diagonal lines of a unit cube, then what are the possible values of $\cos x$?

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