# 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.