**Meeting time:**TR 9:30-11, Room 4-163**Final Exam: 9-12 a.m. Wednesday December 17 in 4-163**.**Text:**Sheldon Axler,*Linear Algebra Done Right***Syllabus:**pdf file for syllabus (updated 11/4 to include text for 11/6).**Some interesting bases:****Notes on finite fields:**for lectures 10/1, 10/8...**Notes on one-sided inverses:**for lecture 10/1**Notes on Gaussian elimination:**for lectures 9/30 and 10/2.**Notes on computing eigenvalues:**for lectures 10/14 and 10/16. (Expanded to 8 pages 10/16, adding a more complicated example.)**Notes on orthogonal bases:**for lectures 10/23 and 10/28.**Proof of the Spectral Theorem:**for lecture 11/4.**Notes on generalized eigenvalues :**for lectures 11/21 and 11/26.**Mathematical formalism of quantum mechanics:**

Instructor: David Vogan, E17-442, dav@math.mit.edu, 617-253-4991

Problem sets will be posted at least a week before they are due. Solutions will be posted the afternoon after the problem sets are due.

pdf file for Problem Set 1

pdf file for solutions to Problem Set 1 (Partly in fairness to others using this text, I will **not** post solutions to the problems assigned from the text.)

pdf file for Problem Set 2

pdf file for solutions to Problem Set 2

pdf file for Problem Set 3

pdf file for solutions to Problem Set 3

pdf file for Problem Set 4

pdf file for solutions to Problem Set 4

pdf file for Problem Set 5

pdf file for solutions to Problem Set 5

pdf file for Problem Set 6

pdf file for solutions to Problem Set 6

pdf file for Problem Set 7

pdf file for solutions to Problem Set 7

pdf file for Problem Set 8

pdf file for solutions to Problem Set 8

pdf file for Problem Set 9.

pdf file for solutions to Problem Set 9