Question

Evaluating independence of vectors using Bilinear Forms

score 133 · Answer 1 · 2019-02-18 18:47:00

133

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Evaluating independence of vectors using Bilinear Forms

Published on 18 Feb 2019 - 18:47

score 29 · Answer 2 · 2019-02-22 17:41:43

29

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

Published on 22 Feb 2019 - 17:41

score 173 · Answer 3 · 2019-03-03 13:25:16

173

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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 03 Mar 2019 - 13:25

score 155 · Answer 4 · 2019-03-08 15:53:17

155

Views

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

Published on 08 Mar 2019 - 15:53

score 734 · Answer 5 · 2019-03-10 08:24:51

734

Views

Quadratic Form as Sum of Squares

Published on 10 Mar 2019 - 8:24

score 101 · Answer 6 · 2019-03-15 20:03:04

101

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Some questions about bilinear forms and their non-degeneracy.

Published on 15 Mar 2019 - 20:03

score 284 · Answer 7 · 2019-03-31 16:22:55

284

Views

How to obtain this matrix by reordering the basis vectors?

Published on 31 Mar 2019 - 16:22

score 3.8k · Answer 8 · 2019-04-01 00:11:56

3.8k

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Symmetry of inner product

Published on 01 Apr 2019 - 0:11

score 136 · Answer 9 · 2026-03-19 18:13:45

136

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Showing that invertibility implies coercivity

Published on 19 Mar 2026 - 18:13

score 49 · Answer 10 · 2019-04-13 00:35:51

49

Views

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

Published on 13 Apr 2019 - 0:35

score 472 · Answer 11 · 2019-04-15 01:53:03

472

Views

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

Published on 15 Apr 2019 - 1:53

score 52 · Answer 12 · 2019-04-15 04:21:09

52

Views

Integral inequality issue

Published on 15 Apr 2019 - 4:21

score 47 · Answer 13 · 2019-04-15 17:13:37

47

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 15 Apr 2019 - 17:13

score 29 · Answer 14 · 2019-04-21 19:52:30

29

Views

prove a bilinear form is nondegenerate

Published on 21 Apr 2019 - 19:52

score 57 · Answer 15 · 2019-04-22 21:43:00

57

Views

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

Published on 22 Apr 2019 - 21:43

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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