Exercise6

Consider the vectors

\begin{equation*} \vvec_1=\left[\begin{array}{r} 3 \\ -1 \\ 1 \end{array}\right], \vvec_2=\left[\begin{array}{r} 1 \\ 1 \\ 2 \end{array}\right]. \end{equation*}

For what value(s) of $$k\text{,}$$ if any, can the vector $$\left[\begin{array}{r} k \\ -2 \\ 5 \end{array}\right]$$ be written as a linear combination of $$\vvec_1$$ and $$\vvec_2\text{?}$$

in-context