Let $\lbrace{{\bf u}_1, {\bf u}_2, {\bf u}_3}\rbrace$ be a linearly independent set of vectors.

Select the best statement.

A. $\lbrace{{\bf u}_1, {\bf u}_2, {\bf u}_3, {\bf u}_4}\rbrace$ is always a linearly independent set of vectors.
B. $\lbrace{{\bf u}_1, {\bf u}_2, {\bf u}_3, {\bf u}_4}\rbrace$ is also a linearly independent set of vectors unless ${\bf u}_4$ is a scalar multiple another vector in the set.
C. $\lbrace{{\bf u}_1, {\bf u}_2, {\bf u}_3, {\bf u}_4}\rbrace$ is always a linearly dependent set of vectors.
D. $\lbrace{{\bf u}_1, {\bf u}_2, {\bf u}_3, {\bf u}_4}\rbrace$ could be a linearly independent or linearly dependent set of vectors depending on the vectors chosen.
E. $\lbrace{{\bf u}_1, {\bf u}_2, {\bf u}_3, {\bf u}_4}\rbrace$ is also a linearly independent set of vectors unless ${\bf u}_4={\bf 0}$.
F. none of the above