Show that the following vectors are linearly dependent. $$ |v_1\rangle = \begin{pmatrix} 1 \\ 0 \end{pmatrix}, |v_2\rangle = \begin{pmatrix} -1/2 \\ \sqrt{3}/2 \end{pmatrix}, |v_3\rangle = \begin{pmatrix} 3/2 \\ \sqrt{3}/2 \end{pmatrix} $$
What does it mean for a set of vectors to be linearly dependent?