Linear independence in-class activity

- License
- GFDL-1.3
- Created On
- June 8th, 2017
- 7 years ago
- Views
- 3
- Type
- Timeframe
- In-class
- Perspective
- Language
- English
- Content Type
- application/pdf

##### Definition of linearly independent set of vectors: if a linear combination is zero, then every coefficient is zero, coordinate vector space. math.la.d.vec.linindep.coord

##### If a set of vectors in R^n (or C^n) contains more than n elements, then the set is linearly dependent. math.la.t.vec.lindep.more.rncn

##### If a set of vectors contains the zero vector, then the set is linearly dependent. math.la.t.vec.lindep.zero

##### Theorem: a set of vectors is linearly dependent if and only if one of the vectors can be written as a linear combination of the other vectors, coordinate vector space. math.la.t.vec.lindep.coord

##### Definition of linear dependence relation math.la.d.vec.lindep.relation