symmetric matrix
Definition:
Let A=(aij) be a square matrix of
order n. The matrix A is symmetric
if aij=aji
for all 1≤i≤n,1≤j≤n.
A=(a11⋯a1n⋮⋱⋮an1⋯ann)
-
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 |