4.5 The Dimension of a Vector Space

Section 4.5 Slides

Topics covered

  • Definition of the dimension of a Vector Space; computing a basis
  • Find dimension of a subspaces by comuting a basis
  • Dimension of a Rn and Pn
  • The Basis Theorem
  • Dimension of column and null space of A and how they relate to the number of columns of A, pivots and free variables
  • Several examples