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Homesymmetric matrix
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symmetric matrix
Definition:
Let $A=(a_{{ij}})$ be a square matrix of
order $n$. The matrix $A$ is symmetric if $a_{{ij}}=a_{{ji}}$
for all $1\leq i\leq n,1\leq j\leq n$.
$A=\begin{pmatrix}a_{{11}}&\cdots&a_{{1n}}\\ \vdots&\ddots&\vdots\\ a_{{n1}}&\cdots&a_{{nn}}\end{pmatrix}$
Properties:
1. $A^{t}=A$ where $A^{t}$ is the matrix transpose
Examples:

$\begin{pmatrix}a&b\\ b&c\end{pmatrix}$

$\begin{pmatrix}a&b&c\\ b&d&e\\ c&e&f\end{pmatrix}$
Related:
SelfDual, HessianMatrix, SkewHermitianMatrix
Synonym:
symmetric
Type of Math Object:
Definition
Major Section:
Reference
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new question: A problem about Euler's totient function by mbhatia
new question: Prove that for any sets A, B, and C, An(BUC)=(AnB)U(AnC) by St_Louis
Apr 20
new image: informationtheoreticdistributedmeasurementdds.png by rspuzio
new image: informationtheoreticdistributedmeasurement4.2 by rspuzio
new image: informationtheoreticdistributedmeasurement4.1 by rspuzio
new image: informationtheoreticdistributedmeasurement3.2 by rspuzio
new image: informationtheoreticdistributedmeasurement3.1 by rspuzio
new image: informationtheoreticdistributedmeasurement2.1 by rspuzio
Apr 19
new collection: On the InformationTheoretic Structure of Distributed Measurements by rspuzio
Apr 15
new question: Prove a formula is part of the Gentzen System by LadyAnne
Mar 30
new question: A problem about Euler's totient function by mbhatia