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Positive definite symmetric bilinear form

Ciro Santilli (@cirosantilli, 37) ... Area of mathematics Algebra Linear algebra Linear map Multilinear map Symmetric bilinear map
Updated 2025-07-16  0 By others on same topic  0 Discussions Create my own version
Symmetric bilinear form that is also positive definite, i.e.:
∀x,B(x,x)>0
(1)
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    • Matrix representation of a positive definite symmetric bilinear form Positive definite symmetric bilinear form

Matrix representation of a positive definite symmetric bilinear form

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Positive definite symmetric bilinear form
A positive definite matrix that is also a symmetric matrix.

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  • Complex dot product
  • Dot product
  • Symmetric bilinear map
  • What happens to the definition of the orthogonal group if we choose other types of symmetric bilinear forms

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