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by
Ciro Santilli
(
@cirosantilli,
34
)
Positive definite symmetric bilinear form
...
Area of mathematics
Algebra
Linear algebra
Linear map
Multilinear map
Symmetric bilinear map
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Updated
2024-11-19
Created
1970-01-01
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Symmetric bilinear form
that is also
positive definite
, i.e.:
∀
x
,
B
(
x
,
x
)
>
0
(1)
Table of contents
Matrix representation of a positive definite symmetric bilinear form
Positive definite symmetric bilinear form
Matrix representation of a positive definite symmetric bilinear form
0
0
0
Positive definite symmetric bilinear form
A
positive definite matrix
that is also a
symmetric matrix
.
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Symmetric bilinear map
Multilinear map
Linear map
Linear algebra
Algebra
Area of mathematics
Mathematics
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Complex dot product
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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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