Module 1: Basics and Background
  Lecture 5: Vector and Metric Spaces
 

                                            

 

 

Dimensionality
  • Assume there are k vectors
  • What is their dimensionality?
  • Vectors are linearly independent iff the linear combination only when
  • The span of a set of vectors is the vector space generated by their linear combinations
  • A basis of a vector space is a set of vectors that are linearly independent and that spans