A 2×22 \times 22×2 linear system Ax=bA\mathbf{x} = \mathbf{b}Ax=b has determinant det(A)=0\det(A) = 0det(A)=0. Which statement is always TRUE?
The system has no solution.
The system has infinitely many solutions.
The system either has no solution or infinitely many solutions (but not unique).
The system has exactly one solution if b\mathbf{b}b is orthogonal to the null space.