A First Course in Linear Algebra · Problem LI.C22

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. {[−2−1−1],[10−1],[336],[−5−4−6],[447]}\left\{ \begin{bmatrix} -2 \\ -1 \\ -1 \end{bmatrix}, \begin{bmatrix} 1 \\ 0 \\ -1 \end{bmatrix}, \begin{bmatrix} 3 \\ 3 \\ 6 \end{bmatrix}, \begin{bmatrix} -5 \\ -4 \\ -6 \end{bmatrix}, \begin{bmatrix} 4 \\ 4 \\ 7 \end{bmatrix} \right\}

Related theory

Browse the problem library