Linearly Dependent Functions
Functions are linearly dependent when for all with constants not all zero.
Definition 6.2 (Linearly Dependent Functions)
A set of functions is linearly dependent if there exist constants , not all zero, such that
Linear combinations
Equivalently, a set of functions is linearly dependent if one or more of the functions can be written as a linear combination of the others.
Related
Stated in
- Definition 6.2 (Linearly Dependent Functions)§6.1 2nd Order ODEs with Constant Coefficients