TMA4115-Calculus3
            Lecture 12, Feb 21
            Toke Meier Carlsen
            Norwegian University of Science and Technology
            Spring 2013
  www.ntnu.no                                TMA4115-Calculus3,Lecture 12, Feb 21
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         linear transformations,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         the standard matrix of a linear transformation,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         onto linear transformations,
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         one-to-one linear transformations.
                                                                                                                                                                                                                                                                                                                                                                                                             Yesterday we introduced and studied
  Yesterday’s lecture
  www.ntnu.no                               TMA4115-Calculus3,Lecture 12, Feb 21, page 2
                                                                                                                                                                                                                                                                                                                                                                                                                  linear transformations,
                                                                                                                                                                                                                                                                                                                                                                                                                  the standard matrix of a linear transformation,
                                                                                                                                                                                                                                                                                                                                                                                                                  onto linear transformations,
                                                                                                                                                                                                                                                                                                                                                                                                                  one-to-one linear transformations.
  Yesterday’s lecture
      Yesterday we introduced and studied
  www.ntnu.no                               TMA4115-Calculus3,Lecture 12, Feb 21, page 2
                                                                                                                                                                                                                                                                                                                                                                                                                  the standard matrix of a linear transformation,
                                                                                                                                                                                                                                                                                                                                                                                                                  onto linear transformations,
                                                                                                                                                                                                                                                                                                                                                                                                                  one-to-one linear transformations.
  Yesterday’s lecture
      Yesterday we introduced and studied
           linear transformations,
  www.ntnu.no                               TMA4115-Calculus3,Lecture 12, Feb 21, page 2