List questions from bilinear-form

Published on 10 May 2018 - 10:49

30

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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 12 May 2018 - 5:49

1.3k

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

Published on 24 Mar 2026 - 1:47

67

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

Published on 22 Mar 2026 - 0:45

75

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Skew-symmetric dimension

Published on 22 Mar 2026 - 1:46

138

Views

Prove that a sequilinear form is an Hermitian product

Published on 15 May 2018 - 13:42

145

Views

Trouble with delta kronecker

Published on 22 Mar 2026 - 3:48

323

Views

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

Published on 17 May 2018 - 2:11

29

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 22 May 2018 - 14:39

33

Views

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

Published on 23 May 2018 - 8:14

48

Views

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

Published on 28 May 2018 - 20:03

166

Views

Canonic form of a quadric

Published on 23 Mar 2026 - 6:35

59

Views

Nonsingular bilinear form

Published on 22 Mar 2026 - 0:12

112

Views

matrix of subspace given bilinear form

Published on 22 Mar 2026 - 13:37

72

Views

Bilinear Functions Not Isomorphic to xy

Published on 22 Mar 2026 - 20:40

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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