]>
|
A linear dependency among vectors to is an equation, , or in which some of the c's ar not 0. A set of vectors is said to be linearly independent if there is no linear dependence among them, and linearly dependent if there is one or more linear dependence.
Example: suppose
Then and are linearly dependent because there is the relation
, or
Exercise 3.11 Prove: any k-vectors are linearly dependent. (You can do it by using mathematical induction.) (If you are not familiar with mathematical induction read this solution and become familiar with it!) Solution
|