# Symmetric Matrix of Order N

## Symmetric Matrix of Order N

A square matrix A of order n is said to be symmetric if $$a_{i,\space j}$$ = $$a_{j,\space i}$$ for $$i,\space j$$ ∈ {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.

### Example

The matrices A = $$\begin{pmatrix}–3 & 5\\5 & – 3\end{pmatrix}$$ and B = $$\begin{pmatrix}–3 & 5 & 6\\5 & 0 & 2\\6 & 2 & –1\end{pmatrix}$$ are symmetric matrices.