Question

Evaluating independence of vectors using Bilinear Forms

score 136 · Answer 1 · 2026-04-13 03:07:16

136

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Evaluating independence of vectors using Bilinear Forms

Published on 13 Apr 2026 - 3:07

score 31 · Answer 2 · 2026-04-14 05:23:05

31

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bilinear form on some vector space (not necessarely finite dimension).

Published on 14 Apr 2026 - 5:23

score 176 · Answer 3 · 2026-04-17 05:12:25

176

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$B: \mathbb R\times \mathbb R \to \mathbb R$ be the function $B(a,b) = ab $. Which of the following is true?

Published on 17 Apr 2026 - 5:12

score 158 · Answer 4 · 2026-04-14 07:38:11

158

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If $A$ is symmetric, why is $ x^TA^Ty=(x^TA^Ty)^T $ obvious?

Published on 14 Apr 2026 - 7:38

score 737 · Answer 5 · 2026-04-10 17:43:21

737

Views

Quadratic Form as Sum of Squares

Published on 10 Apr 2026 - 17:43

score 104 · Answer 6 · 2026-04-08 23:00:59

104

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Some questions about bilinear forms and their non-degeneracy.

Published on 08 Apr 2026 - 23:00

score 287 · Answer 7 · 2026-04-10 21:21:43

287

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How to obtain this matrix by reordering the basis vectors?

Published on 10 Apr 2026 - 21:21

score 3.8k · Answer 8 · 2026-04-13 15:45:37

3.8k

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Symmetry of inner product

Published on 13 Apr 2026 - 15:45

score 142 · Answer 9 · 2026-04-29 12:44:17

142

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Showing that invertibility implies coercivity

Published on 29 Apr 2026 - 12:44

score 52 · Answer 10 · 2026-04-12 17:29:02

52

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How to show a real matrix $A$ belongs to Indefinite Orthogonal Group $O(n;k)$?

Published on 12 Apr 2026 - 17:29

score 475 · Answer 11 · 2026-04-15 00:01:10

475

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When the characteristic of the field is not two, we can always find an orthogonal basis.

Published on 15 Apr 2026 - 0:01

score 57 · Answer 12 · 2026-05-11 02:37:29

57

Views

Integral inequality issue

Published on 11 May 2026 - 2:37

score 51 · Answer 13 · 2026-05-10 20:03:48

51

Views

No canonical correspondance between bilinear forms $b:V\times V \rightarrow \mathbb{R}$ and linear forms $\hat{b}:V\otimes V \rightarrow \mathbb{R}$?

Published on 10 May 2026 - 20:03

score 32 · Answer 14 · 2026-04-13 18:10:41

32

Views

prove a bilinear form is nondegenerate

Published on 13 Apr 2026 - 18:10

score 60 · Answer 15 · 2026-04-14 19:08:54

60

Views

I have this matrix. It is a Gram matrix of some bilinear form on the R^n.

Published on 14 Apr 2026 - 19:08

List Question

Evaluating independence of vectors using Bilinear Forms

bilinear form on some vector space (not necessarely finite dimension).

$B: \mathbb R\times \mathbb R \to \mathbb R$ be the function $B(a,b) = ab $. Which of the following is true?

If $A$ is symmetric, why is $ x^TA^Ty=(x^TA^Ty)^T $ obvious?

Quadratic Form as Sum of Squares

Some questions about bilinear forms and their non-degeneracy.

How to obtain this matrix by reordering the basis vectors?

Symmetry of inner product

Showing that invertibility implies coercivity

How to show a real matrix $A$ belongs to Indefinite Orthogonal Group $O(n;k)$?

When the characteristic of the field is not two, we can always find an orthogonal basis.

Integral inequality issue

No canonical correspondance between bilinear forms $b:V\times V \rightarrow \mathbb{R}$ and linear forms $\hat{b}:V\otimes V \rightarrow \mathbb{R}$?

prove a bilinear form is nondegenerate

I have this matrix. It is a Gram matrix of some bilinear form on the R^n.

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