(Solved): Identify each of the matrices as Hermitian, Skew-Hermitian, ete. Also, identify the types elgenvalu ...

Identify each of the matrices as Hermitian, Skew-Hermitian, ete. Also, identify the types elgenvalues of each matrix. a) \[ \left(\begin{array}{ccc} 4 & 9 & -3 \\ 9 & -1 & 2 \\ -3 & 2 & 9 \end{array}\right) \] b) \[ \left(\begin{array}{ccc} -3 & 4-3 i & 6 \\ 4+3 i & -1 & 2+7 i \\ 6 & 2-7 i & 8 \end{array}\right) \] c) \[ \left(\begin{array}{ccc} -3 i & 4+3 i & -6+i \\ -4+3 i & -i & -2-7 i \\ 6+i & 2-7 i & 8 i \end{array}\right) \]