Linear Independence

If there are no constants for a set of vectors that allows any linear combination to sum up to 0.

Formal Definition

$a_1{v}_1+a_2{v}_2+\cdots +a_n{v}_n=0⟹a_1=a_2=\cdots =a_n=0$

Concepts

• Linear Independence Equivalence Theorems
• Proving Linear Independence