symmetric matrix


Definition:
Let A=(aij) be a square matrixMathworldPlanetmath of order n. The matrix A is symmetricPlanetmathPlanetmath if aij=aji for all 1in,1jn.

A=(a11a1nan1ann)

Properties:

  1. 1.

    At=A where At is the matrix transpose

Examples:

  • (abbc)

  • (abcbdecef)

Title symmetric matrix
Canonical name SymmetricMatrix
Date of creation 2013-03-22 12:00:58
Last modified on 2013-03-22 12:00:58
Owner Daume (40)
Last modified by Daume (40)
Numerical id 13
Author Daume (40)
Entry type Definition
Classification msc 15-00
Synonym symmetric
Related topic SelfDual
Related topic HessianMatrix
Related topic SkewHermitianMatrix