7 Symmetric Matrices

Recall that an n × n symmetric matrix A is its own transpose

𝐀=𝐀𝐓\mathbf{A={A}^{T}}

This being the case, the elements of A are described by the following relationship

aij=aji, for alli,ja_{ij}=a_{ji},\mbox{ for }\operatorname{all}i,j (57)
Symmetric Matrix Topics