A First Course in Linear Algebra · Problem LI.C21

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. {[−1242],[33−13],[73−64]}\left\{ \begin{bmatrix} -1 \\ 2 \\ 4 \\ 2 \end{bmatrix}, \begin{bmatrix} 3 \\ 3 \\ -1 \\ 3 \end{bmatrix}, \begin{bmatrix} 7 \\ 3 \\ -6 \\ 4 \end{bmatrix} \right\}

Related theory

Browse the problem library