4.6 Rank

Section 4.6 Slides

Topics covered

  • Definition of row space of A
    • Finding a basis for row space of A and relationship with rref of A
  • Dimension of the column space and row space are the same
  • Definition of Rank
  • The Rank Theorem, relationship rank with dimension of null space and number columns of A
  • Introduce the term nullity - the dimension of null space. In video, not in notes.
  • Add statements to Invertible Matrix Theorem
  • Several examples