Advanced Linear Algebra
《Advanced Linear Algebra》 · 第 45 页 · Chapter 1「Linear Independence」
A nonempty set $S$ of vectors in $V$ is linearly independent if the only linear combination of vectors from $S$ that is equal to $0$ is the trivial linear combination, all of whose coefficients are $0$. If $S$ is not linearly independent, it is said to be linearly dependent.