Let $S = \{r, u, d, x\}$ be a set of vectors.
If $x = 4r + 2u + 4d$, determine whether or not $S$ is linearly independent.
Select an Answer
1. Determine whether or not the four vectors listed above are linearly independent or linearly dependent.
If $S$ is dependent, enter a non-trivial linear relation below. Otherwise, enter 0's for the coefficients.
$\boxed{\phantom{0}}$ $r +$ $\boxed{\phantom{0}}$ $u +$ $\boxed{\phantom{0}}$ $d +$ $\boxed{\phantom{0}}$ $x = 0$.