Definition:Symmetric Matrix

Definition

Let $\mathbf A$ be a square matrix over a set $S$.

$\mathbf A$ is symmetric if and only if:

$\mathbf A = \mathbf A^\intercal$

where $\mathbf A^\intercal$ is the transpose of $\mathbf A$.

Also see

• Results about symmetric matrices can be found here.

Sources

• 1980: A.J.M. Spencer: Continuum Mechanics ... (previous) ... (next): $2.1$: Matrices: $(2.2)$
• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): symmetric matrix
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): symmetric matrix