6.7 Linearly Independent Vectors

Types: N/A
Examples: N/A
Constructions: 6.8 Test for Linear Independence
Generalizations: N/A

Properties: N/A
Sufficiencies: N/A
Questions: N/A

Linearly Independent Vectors

Let $m, n \in N$ . Suppose that vectors ${\vec{a}}_{1}, {\vec{a}}_{2}, \dots, {\vec{a}}_{n} \in R^{M}$ and scalars $x_{1}, x_{2}, \dots, x_{n} \in R$ . The set ${{\vec{a}}_{k}}_{k = 1}^{n}$ of vectors is linearly independent if it is NOT linearly dependent.