A set of vectors is linearly dependent if one of the vectors is redundant, meaning it provides no new directional freedom. Mathematically, this occurs when a vector lies perfectly flat on the plane (or line) already created by the others, allowing it to be written as a combination of the others.
Conditions: The set contains at least two vectors.; One vector lies in the span of the other vectors.
A set of vectors is linearly dependent if one of the vectors is redundant, meaning it provides no new directional freedom. Mathematically, this occurs when a vector lies perfectly flat on the plane (or line) already created by the others, allowing it to be written as a combination of the others.
Conditions: The set contains at least two vectors.; One vector lies in the span of the other vectors.