How to Determine if a Vector Set is Linearly Dependent or Independent?

This video shows how to determine if a vector set is linearly dependent or independent. The most efficient way to determine it is using rank. If the \(\text{Rank}A=n\), then the vector set is linearly independent. If \(\text{Rank}A<n\), the vector set is linearly dependent. Here \(A\) is made by all vectors of the set to be its columns.