## Question

###### Let $u=(2,3,1), v=(1,3,0)$, and $w=(2,-3,3)$. Since $(1 / 2) u-$ $(2 / 3) v-(1 / 6) w=(0,0,0)$, can we conclude that the set ${u, v, w}$ is linearly dependent over $Z_{7}$ ?

Let $u=(2,3,1), v=(1,3,0)$, and $w=(2,-3,3)$. Since $(1 / 2) u-$ $(2 / 3) v-(1 / 6) w=(0,0,0)$, can we conclude that the set ${u, v, w}$ is linearly dependent over $Z_{7}$ ?

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