Symmetric Matrix of Order N
A square matrix A of order n is said to be symmetric if [latex]a_{i,\space j}[/latex] = [latex]a_{j,\space i}[/latex] for [latex]i,\space j[/latex] ∈ {1, 2, 3, 4, ..., n}.
In a symmetric matrix, the main diagonal is a line of symmetry for the elements located on either side of the diagonal.