Determine by inspection whether the vectors are linearly independent. Justify each answer. $\left[\begin{array}{r}{3} \\ {5} \\ {-1}\end{array}\right],\left[\begin{array}{l}{0} \\ {0} \\ {0}\end{array}\right],\left[\begin{array}{r}{-6} \\ {5} \\ {4}\end{array}\right]$
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Step 1
A set of vectors is linearly independent if no vector in the set can be written as a linear combination of the other vectors. In other words, the only solution to the equation $c_1\mathbf{v}_1 + c_2\mathbf{v}_2 + \cdots + c_n\mathbf{v}_n = \mathbf{0}$ is when all Show more…
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