240AlgebraI-091020, Hours 17-18
October-16-09
8:55 AM
APUS
Final Exam: Wed Dec 16 BN2S 9-12.
Term exam on Thursday.
Class notes.
Agenda:
The abstract notion of "isomorphism", the "game of 15" example.
Any two v.s. of the same dimension are isomorphic.
Null space / kernel, range / image; they are subspaces.
Nullity, rank, and rank-nullity.
Skippable: "the rank is the only invariant of linear transformations".
TFAE for l.t. between spaces of the same dimension.