Question: the vectors are linearly independent if a is equal to?
Answer: The vectors a1, ..., an are called linearly independent if there are no non-trivial combination of these vectors equal to the zero vector. That is, the vector a1, ..., an are linearly independent if x1a1 + ... + xnan = 0 if and only if x1 = 0, ..., xn = 0. Definition.