List questions from bilinear-form

Published on 16 Apr 2026 - 0:28

33

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If $G(\cdot,\cdot)$ is a symmetric bilinear form, and we know that $G(X,X)<0$ and $G(Y,X)=0$ then it must be the case that $G(Y,Y)>0$?

Published on 17 Apr 2026 - 1:55

1.3k

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Finite dimensional symplectic vector space over field of arbitrary characteristic has even dimension

Published on 17 Apr 2026 - 23:56

71

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What is special about $x^T P y$?

Published on 10 Apr 2026 - 3:15

84

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Skew-symmetric dimension

Published on 03 May 2026 - 6:43

141

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Prove that a sequilinear form is an Hermitian product

Published on 14 Apr 2026 - 17:26

152

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Trouble with delta kronecker

Published on 06 May 2026 - 3:28

326

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How to prove there is left\right adjoint for non-degenerate bilinear form?

Published on 11 Apr 2026 - 2:04

32

Views

To write the matrix of a dot product $g:\mathbb{R^2} \times \mathbb{R^2} \to \mathbb{R}$ on a basis $\mathcal{B}=\{v_1, v_2\}$

Published on 16 Apr 2026 - 2:43

36

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Symmetric Bilinear form B clearly determined by the images of B(v,v)

Published on 16 Apr 2026 - 20:08

51

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Show that $J\colon V \to \mathbb{R}$ is convex

Published on 15 Apr 2026 - 13:20

172

Views

Canonic form of a quadric

Published on 29 Apr 2026 - 12:51

63

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Nonsingular bilinear form

Published on 11 Apr 2026 - 10:15

115

Views

matrix of subspace given bilinear form

Published on 10 Apr 2026 - 20:39

75

Views

Bilinear Functions Not Isomorphic to xy

Published on 11 Apr 2026 - 17:46

List Question

Any connections between Cauchy–Schwarz inequality and continuity/boundedness?

If $G(\cdot,\cdot)$ is a symmetric bilinear form, and we know that $G(X,X)<0$ and $G(Y,X)=0$ then it must be the case that $G(Y,Y)>0$?

Finite dimensional symplectic vector space over field of arbitrary characteristic has even dimension

What is special about $x^T P y$?

Skew-symmetric dimension

Prove that a sequilinear form is an Hermitian product

Trouble with delta kronecker

How to prove there is left\right adjoint for non-degenerate bilinear form?

To write the matrix of a dot product $g:\mathbb{R^2} \times \mathbb{R^2} \to \mathbb{R}$ on a basis $\mathcal{B}=\{v_1, v_2\}$

Symmetric Bilinear form B clearly determined by the images of B(v,v)

Show that $J\colon V \to \mathbb{R}$ is convex

Canonic form of a quadric

Nonsingular bilinear form

matrix of subspace given bilinear form

Bilinear Functions Not Isomorphic to xy

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