# Identifying when vectors are linearly dependent

Let u = (1, 2, 1), v = (0, 1, s) and w = (2, 0, t). Find the condition ons and t which makes the set {u, v, w} linearly dependent.

I set up the following matrix, and started to row reduce said matrix:

$\left[ \begin{array}{ccc|c} 1&0&2&0\\ 2&1&0&0\\ 1&s&t&0 \end{array} \right]$