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symmetric matrix

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Definition:
Let $A=(a_{ij})$ be a square matrix of order . The matrix 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:

Examples:

"symmetric matrix" is owned by Daume.

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symmetric

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Cross-references: transpose, matrix, order, square matrix
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This is version 9 of symmetric matrix, born on 2001-11-20, modified 2006-09-20.
Object id is 974, canonical name is SymmetricMatrix.
Accessed 18618 times total.

Classification:

15-00 (Linear and multilinear algebra; matrix theory :: General reference works )

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