List of top Linear Algebra Questions on Linear Systems and Determinants asked in GATE MA

Consider the linear system of equations \( Ax = b \) with
\[ A = \begin{pmatrix} 3 & 1 & 1 \\ 1 & 4 & 1 \\ 2 & 0 & 3 \end{pmatrix}, \quad b = \begin{pmatrix} 2 \\ 3 \\ 4 \end{pmatrix}. \] Which of the following statements are TRUE?