A First Course in Linear Algebra · Problem LI.RQ.1

Vectors — Robert Beezer

Mathematics — Linear Algebra · linear-independence

Problem

Let

S

be the set of three vectors below.

S = \left\{ \begin{bmatrix} 1 \\ 2 \\ -1 \end{bmatrix}, \begin{bmatrix} 3 \\ -4 \\ 2 \end{bmatrix}, \begin{bmatrix} 4 \\ -2 \\ 1 \end{bmatrix} \right\}

S

linearly independent or linearly dependent? Explain why.