Linear algebra MAT310, Fall 2004

Solutions to homework problems have been removed. Solutions to the midterms are still here.

Office hours: MWF 11AM-12.20PM and by appointment

This page contains homework problems and their solutions. New material will be added about once in a week. Check for updates. For more information please see the main page of MAT310

There are optional projects for this course. Some of them cover only basic material while the others are more advanced and require either independent learning or nonstandard approach. The latter are marked with *.
Eigenvalues and eigenvectors (ps, dvi)
Determinants (ps, dvi)
Vector spaces and operators (ps,dvi)
Jordan forms* (ps,dvi)
Painter problem* ( ps,dvi). For additional projects see MAT310.

Note: In the solutions given below, I have tried to emphasize the essential methods and ideas while omitting some straightforward calculations. So most of the proofs are complete up to minor verifications which are left to the reader.

Problem set 1 (pdf,ps,dvi). Due by September 10, Friday
Solutions of problem set 1 (pdf,ps,dvi).
Problem set 2 (pdf,ps,dvi). Due by September 15, Wednesday
Solutions of problem set 2 (pdf,ps,dvi).
Problem set 3 (pdf,ps,dvi). Due by September 22, Wednesday
Solutions of problem set 3 (pdf,ps,dvi).
Problem set 4 (pdf,ps,dvi). Due by September 29, Wednesday

Solutions to the first midterm (pdf,ps,dvi).

Solutions of problem set 4 (pdf,ps,dvi).
Problem set 5 (pdf,ps,dvi). Due by October 8, Friday
Solutions of problem set 5 (pdf,ps,dvi).
Problem set 6 (pdf,ps,dvi). Due by October 18, Monday
Solutions of problem set 6 (pdf,ps,dvi).
Problem set 7 (pdf,ps,dvi). Due by October 22, Friday
Solutions of problem set 7 (pdf,ps,dvi).
Problem set 8 (pdf,ps,dvi). Due by October 29, Friday
Solutions of problem set 8 (pdf,ps,dvi).
Problem set 9 (pdf,ps,dvi). Due by November 5, Friday
Solutions of problem set 9 (pdf,ps,dvi).

Solutions to the second midterm (pdf,ps,dvi).

Problem set 10 (pdf,ps,dvi). Due by November 10, Wednesday
Solutions of problem set 10 (pdf,ps,dvi).
Problem set 11 (pdf,ps,dvi). Due by November 19, Friday
Solutions of problem set 11 (pdf,ps,dvi).
Solutions of problem set 12 (pdf,ps,dvi).

Solutions to the third midterm (pdf,ps,dvi).

Solutions of problem set 13 (pdf,ps,dvi).
Solutions of problem set 14 (pdf,ps,dvi).