Determine if the set of vectors {(10),(01),(11)}\{ \begin{pmatrix} 1 \\ 0 \end{pmatrix}, \begin{pmatrix} 0 \\ 1 \end{pmatrix}, \begin{pmatrix} 1 \\ 1 \end{pmatrix} \}{(10),(01),(11)} is linearly independent.
Yes, because they are 2D vectors
No, because there are more vectors than dimensions
Yes, because the sum is non-zero
No, because the first two are zero