A system of linear equations is given as $\mathrm{A X}=\mathrm{B}$, where $\mathrm{A}=\left[\begin{array}{cc}2 & 5 \\ 5 & -2\end{array}\right], \quad \mathrm{B}=\left[\begin{array}{l}7 \\ 3\end{array}\right]$, and $\mathrm{X}$ is the solution vector.
Which of the following statements is/are TRUE for this system?
- Matrix $\mathrm{A}$ is skew-symmetric.
- Eigenvalues of matrix $\mathrm{A}$ are real.
- The system is homogeneous.
- The system is singular.
