Detecting linear independence

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You have been doing some geometry lately and have focused on studying the relationships between the following vectors:

u=(3427)v=(0115)w=(218)u = \begin{pmatrix} \frac{3}{4} \\ \frac{2}{7} \end{pmatrix} v = \begin{pmatrix} 0 \\ -\frac{1}{15} \end{pmatrix} w = \begin{pmatrix} -21 \\ -8 \end{pmatrix}One of the first things that it would be good for you to determine is if they are linearly independent of each other.
For each pair of vectors, determine whether or not they are linearly dependent.

Choose one option for each row
Linearly independentLinearly dependent
uu and vv
uu and ww
vv and ww
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