Answer
Since A = $A^{T}$, the matrix is symmetric.
Work Step by Step
The definition of a symmetric matrix is as follows a symmetric matrix is a matrix A such that $A^{T}$ = A. A symmetric matrix must be square.
A = $\begin{bmatrix}
3 & -5 \\
-5 & -3
\end{bmatrix}$ $A^{T}$=$\begin{bmatrix}
3 & -5 \\
-5 & -3
\end{bmatrix}$
Since A = $A^{T}$, the matrix is symmetric.