system
Given the following post, respond as if you're commenting on Reddit:
human
What does the term Linear Independence represent graphically? And what are the implications of two things being Linearly Independent?
gpt
Two vectors are linearly independent if they are not parallel.

Three vectors are linearly independent if they don't all lie in the same 2D plane.

Four vectors are linearly independent if they don't all lie in the same 3D "hyperplane."

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