Please justify every line in your proof.
2. (2 points) The set $\{\mathbf{u}_1, \mathbf{u}_2, \mathbf{u}_3, \mathbf{u}_4\}$ of vectors in $\mathbb{R}^3$ is linearly dependent. Let $A = [\mathbf{u}_1, \mathbf{u}_2, \mathbf{u}_3, \mathbf{u}_4]$. Is the matrix $A$ singular?