(Solved): Which of the following statements is true? Select one: If a set in \( \mathbb{R}^{n} \) is linearl ...

Which of the following statements is true? Select one: If a set in \( \mathbb{R}^{n} \) is linearly dependent, then the set contains more vectors than there are entries in each vector Two vectors are linearly dependent if and only if they lie on a line through the origin All of the statements are true If \( S \) is a linearly dependent set, then each vector is a linear combination of the other vectors in \( S \) If a set contains fewer vectors than there are entries in the vectors, then the set is linearly independent