Exercise9

Suppose that \(k\) is an unknown parameter and consider the set of vectors

\begin{equation*} \vvec_1 = \threevec{2}{0}{1}, \vvec_2 = \threevec{4}{-2}{-1}, \vvec_1 = \threevec{0}{2}{k} \text{.} \end{equation*}
  1. For what values of \(k\) is the set of vectors linearly dependent?

  2. For what values of \(k\) does the set of vectors span \(\real^3\text{?}\)

in-context