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

                                            

 

 

Examples
  • matrices
  • Subspaces: Non-empty subset that is closed under the vector addition and the scalar multiplication operations
  • Are the following subspaces?
 
  • Zero vector: Yes
 
  • First quadrant: No
 
  • First and third quadrant: