Question

Calculations related to $(\Delta w_j,\Delta w_k)=\iiint \Delta w_j \cdot \Delta w_k$

score 45 · Answer 1 · 2026-04-14 01:29:17

45

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Calculations related to $(\Delta w_j,\Delta w_k)=\iiint \Delta w_j \cdot \Delta w_k$

Published on 14 Apr 2026 - 1:29

score 60 · Answer 2 · 2026-05-11 04:06:21

60

Views

Does this matrix equality hold? How to prove it? $B \bullet A=B\bullet U\Lambda U^T=U^TBU\bullet A$?

Published on 11 May 2026 - 4:06

score 51 · Answer 3 · 2026-04-10 12:17:45

51

Views

Intuitive understanding of relationship between inner product and norm

Published on 10 Apr 2026 - 12:17

score 57 · Answer 4 · 2026-04-11 20:14:04

57

Views

Preserving inequality through inner product

Published on 11 Apr 2026 - 20:14

score 54 · Answer 5 · 2026-05-13 06:08:23

54

Views

Find a positive-definite scalar product for which $F:\mathbb{R^3}\to \mathbb{R^3}$ is symmetrical

Published on 13 May 2026 - 6:08

score 176 · Answer 6 · 2026-05-14 05:07:19

176

Views

Show that this $\mathbb{R}^2$ is an euclidean vector space

Published on 14 May 2026 - 5:07

score 60 · Answer 7 · 2026-05-14 06:20:02

60

Views

Prove that $\left\|\lambda\vec{u}+\mu\vec{v}\right\|\leq|\lambda|\cdot\left\|\vec{u}\right\|+|\mu|\cdot\left\|\vec{v}\right\|$

Published on 14 May 2026 - 6:20

score 78 · Answer 8 · 2026-04-12 15:02:50

How to prove, for any vector $v$ and matrix $A$, $\langle Av,v\rangle\le \lambda\langle v,v\rangle$, where $\lambda$ is the maximum eigenvalue of $A$

score 67 · Answer 9 · 2026-05-10 16:35:44

67

Views

If v and w are orthogonal vectors and their images f(v), f(w) are orthogonal there exists an isometry we can build with a scalar $\alpha$

Published on 10 May 2026 - 16:35

score 108 · Answer 10 · 2026-04-13 19:25:58

108

Views

$\frac{2}{\lVert x \rVert^2} \langle x,u \rangle \langle x,v\rangle - \langle u, v\rangle \leq \lVert u \rVert \lVert v \rVert$?

Published on 13 Apr 2026 - 19:25

score 476 · Answer 11 · 2026-04-16 23:31:23

476

Views

Show that the inner product exists and is unique

Published on 16 Apr 2026 - 23:31

score 72 · Answer 12 · 2026-04-09 20:13:59

72

Views

Complex inner product identity

Published on 09 Apr 2026 - 20:13

score 75 · Answer 13 · 2026-04-12 07:22:41

75

Views

Component of $x$ that is orthogonal to $y$?

Published on 12 Apr 2026 - 7:22

score 86 · Answer 14 · 2026-04-13 10:16:09

86

Views

Does $f(v,w) $ define an inner product?

Published on 13 Apr 2026 - 10:16

score 133 · Answer 15 · 2026-05-10 14:28:22

133

Views

Can a pre-Hilbert space be separable?

Published on 10 May 2026 - 14:28

List Question

Calculations related to $(\Delta w_j,\Delta w_k)=\iiint \Delta w_j \cdot \Delta w_k$

Does this matrix equality hold? How to prove it? $B \bullet A=B\bullet U\Lambda U^T=U^TBU\bullet A$?

Intuitive understanding of relationship between inner product and norm

Preserving inequality through inner product

Find a positive-definite scalar product for which $F:\mathbb{R^3}\to \mathbb{R^3}$ is symmetrical

Show that this $\mathbb{R}^2$ is an euclidean vector space

Prove that $\left\|\lambda\vec{u}+\mu\vec{v}\right\|\leq|\lambda|\cdot\left\|\vec{u}\right\|+|\mu|\cdot\left\|\vec{v}\right\|$

How to prove, for any vector $v$ and matrix $A$, $\langle Av,v\rangle\le \lambda\langle v,v\rangle$, where $\lambda$ is the maximum eigenvalue of $A$

If v and w are orthogonal vectors and their images f(v), f(w) are orthogonal there exists an isometry we can build with a scalar $\alpha$

$\frac{2}{\lVert x \rVert^2} \langle x,u \rangle \langle x,v\rangle - \langle u, v\rangle \leq \lVert u \rVert \lVert v \rVert$?

Show that the inner product exists and is unique

Complex inner product identity

Component of $x$ that is orthogonal to $y$?

Does $f(v,w) $ define an inner product?

Can a pre-Hilbert space be separable?

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