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Symmetric matrix
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Mathematics
Fields of mathematics
Algebra
Linear algebra
Matrices
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A
symmetric matrix
is
a
square matrix
that is equal to its
transpose
. In mathematical terms,
a
matrix
\(
A
\) is considered symmetric if: \[
A
=
A
^
T
\] where \(
A
^
T
\) denotes the
transpose
of the
matrix
\(
A \)
.
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Matrices
Linear algebra
Algebra
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Symmetric matrix
by
Ciro Santilli
37
Updated
2025-07-16
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A
matrix
that equals its
transpose
:
M
=
M
T
(1)
Can represent
a
symmetric bilinear form
as
shown at
matrix representation of a symmetric bilinear form
, or
a
quadratic form
.
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