ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Countable map
Array
Matrix
Matrix transpose
Definition D399
Symmetric matrix
Formulation 0
A D403: Square matrix $x : J \times J \to X$ is symmetric if and only if \begin{equation} \forall \, i, j \in J : x_{i, j} = x_{j, i} \end{equation}
Formulation 1
A D403: Square matrix $x : J \times J \to X$ is symmetric if and only if \begin{equation} x = x^T \end{equation}
Children
Symmetric complex matrix