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Among the matrices below, which are symmetric, which are antisymmetric, which are neither? $$ \begin{aligned} &M_1 = \begin{pmatrix} 1 & 2 \\ 2 & 3 \end{pmatrix}, \quad M_2 = \begin{pmatrix} 0 & 5 \\ -5 & 0 \end{pmatrix}, \\ &M_3 = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}, \quad M_4 = \begin{pmatrix} 0 & 0 \\ 0 & 0 \end{pmatrix}. \end{aligned} $$
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