Department of Mathematical Sciences
Instructor:  Markus Schmidmeier
Fall 2009

### Matrix Theory ---  Homework assignments

All problem numbers refer to our textbook by Anton and Roros, Elementary Linear Algebra, Applications Version, 9th edition.

Textbook
Sections

Problems

due

1.1, 1.2 Solving systems of linear equations 1.1/ 2, 6; 1.2/ 8, 9, 10, 17 PDF Thursday, August 27
1.3 - 1.5, Matrix operations 1.3/ 1, 5; 1.4/ 4, 11, 12; 1.5/ 3, 8 Thursday, September 3
1.6 - 2.1, Inverses, Determinants 1.6/ 3, 12; 1.7/ 6; 2.1/ 6, 12, 16, 22 Thursday, September 10
2.3, 2.4: Eigenvectors, determinants via permutations 2.3/ 2, 12, 14, 15; 2.4/ 1, 2, 8, 13. Thursday, September 17
3.2, 3.3: Norm, dot product 3.2/ 2, 4, 9; 3.3/ 2, 4, 16, 17, 20 Thursday, September 24
3.4, 3.5: Cross products, lines and planes 3.4/ 2, 4, 10, 21, 22; 3.5/ 2, 4, 6, 8, 10, 22 Thursday, October 1
4.2: Linear transformations 4.2/ 4, 8, 10, 12, 16, 20, 26 Thursday, October 8 (day of midterm exam)
5.1-2: Vector spaces 5.1/ 2, 4, 6, 8, 10, 12; 5.2/ 2, 4, 6 Thursday, October 15
5.3-4: Linear independence, bases 5.3/ 2, 4, 7, 12, 14; 5.4/ 2, 4, 6, 8. Thursday, October 22
5.5-6: Vector spaces given by a matrix 5.5/ 3, 4, 6, 8, 9, 10; 5.6/ 2, 3, 4, 7, 8 Thursday, October 29
7: Eigenvalues, diagonalization 7.1/ 4, 5, 6, 11; 7.2/ 2, 4, 6, 8, 10, 12, 14, 20 Thursday, November 5
11.6: Markov Chains 11.6/ 2, 4, 6, 7, 8 Thursday, November 12
Extra Credit if done on a Computer Algebra System 11.6/ T1 and T2 Thursday, November 26
11.9: Leontief Economic Models 11.9/ 1-6 Thursday, November 19