List questions from bilinear-form

Published on 05 Mar 2017 - 17:29

366

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Bilinear form on direct sum decomposition of a vector space

Published on 06 Mar 2017 - 15:29

460

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Symmetric bilinear form, and first fundamental form

Published on 09 Mar 2017 - 21:57

1.2k

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Literally three different definitions of "The kernel of a quadratic form" in the same proof

Published on 12 Mar 2017 - 20:00

821

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What is the number of all skew symmetric bilinear forms on $m$ dimensional space $V$ over $\mathbb{F}_q$ with rank equal to $2r$?

Published on 17 Mar 2017 - 21:07

4.9k

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What is the difference between a linear mapping and a bilinear mapping?

Published on 19 Mar 2017 - 13:43

1.4k

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Killing-form $\mathrm{Tr}(\mathrm{ad}_{X} \circ \mathrm{ad}_{Y})$ of $\mathfrak{so}(n)$

Published on 21 Mar 2017 - 4:53

632

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Proof involving symmetric bilinear forms and matrices

Published on 24 Mar 2017 - 21:26

169

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Prove that the quotient space $V/V^\perp$ is regular

Published on 25 Mar 2017 - 13:10

402

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Convex conjugate of $f(x) = \langle a, x \rangle -b$

Published on 25 Mar 2017 - 15:23

38

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Show that the forms $q(x,y)=x^2-y^2$ and $q'(x,y)=xy$ are isomorphic

Published on 27 Mar 2017 - 4:02

275

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Linear Algebra - Symmetric matrices and bilinear forms

Published on 27 Mar 2017 - 20:46

95

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Find all vectors $x+iy$ for which the complex bilinear form is alternating

Published on 01 Apr 2017 - 15:10

66

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Coercivity of a bilinear form defined as a weighted integral

Published on 29 Jan 2023 - 20:26

129

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Polar Decomposition of $O(p,q)$

Published on 02 Feb 2023 - 17:28

List Question

minimum and maximum of bilinear form

Bilinear form on direct sum decomposition of a vector space

Symmetric bilinear form, and first fundamental form

Literally three different definitions of "The kernel of a quadratic form" in the same proof

What is the number of all skew symmetric bilinear forms on $m$ dimensional space $V$ over $\mathbb{F}_q$ with rank equal to $2r$?

What is the difference between a linear mapping and a bilinear mapping?

Killing-form $\mathrm{Tr}(\mathrm{ad}_{X} \circ \mathrm{ad}_{Y})$ of $\mathfrak{so}(n)$

Proof involving symmetric bilinear forms and matrices

Prove that the quotient space $V/V^\perp$ is regular

Convex conjugate of $f(x) = \langle a, x \rangle -b$

Show that the forms $q(x,y)=x^2-y^2$ and $q'(x,y)=xy$ are isomorphic

Linear Algebra - Symmetric matrices and bilinear forms

Find all vectors $x+iy$ for which the complex bilinear form is alternating

Coercivity of a bilinear form defined as a weighted integral

Polar Decomposition of $O(p,q)$

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