A First Course in Linear Algebra · Problem LI.C20

Vectors — Robert Beezer

Mathematics — Linear Algebra · linear-independence

Problem

Determine if the set of vectors below is linearly independent or linearly dependent. When the set is linearly dependent, exhibit a nontrivial relation of linear dependence. {[1−21],[2−13],[150]}\left\{ \begin{bmatrix} 1 \\ -2 \\ 1 \end{bmatrix}, \begin{bmatrix} 2 \\ -1 \\ 3 \end{bmatrix}, \begin{bmatrix} 1 \\ 5 \\ 0 \end{bmatrix} \right\}

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