Final answer:
To determine if a set of vectors is linearly dependent or independent, check if one vector can be expressed as a linear combination of the other vectors in the set.
Step-by-step explanation:
When determining if a set of vectors is linearly dependent or linearly independent, we need to check if one vector can be expressed as a linear combination of the other vectors in the set. If it can, then the vectors are linearly dependent. If not, then the vectors are linearly independent.
For example, let's say we have two vectors, F and C. If we find that C = 2F, then C can be expressed as a linear combination of F, making the set linearly dependent. However, if there is no such relationship between the vectors, then they are linearly independent.