MAT 167 Homework Page (Spring, 1999)

Course: MAT 167-002
CRN: 57651 
Title: Linear Algebra and Applications
Class: MWF 12:10pm-1:00pm, Olson 223 

Instructor: Naoki Saito 
Office: 675 Kerr 
Phone: 754-2121 
Email: saito@math.ucdavis.edu 
Office Hours: MW 2:00pm-3:30pm or by appointment via email 

Teaching Assistant: Sam Chan 
Office: 462 Kerr 
Email: schan@math.ucdavis.edu 
Office Hours: TTh 3:00pm-4:00pm

Sec. 3.2: 3.2.2, 3.2.13
Sec. 3.3: 3.3.2, 3.3.5
Sec. 3.4: 3.4.1, 3.4.9
Sec. 3.5: 3.5.1, 3.5.9
Read one of the Matlab Primers.
Note that I eliminated problems of Sec. 3.6, which I will assign next week.

Sec. 3.5: 3.5.12
Sec. 2.4: 2.4.2
Sec. 2.5: 2.5.2
Sec. 3.6: 3.6.1, 3.6.3, 3.6.7, 3.6.11, 3.6.13 

Sec. 3.8: 3.8.1, 3.8.5
Sec. 4.2: 4.2.1, 4.2.2, 4.2.18, 4.2.22
Sec. 4.3: 4.3.2, 4.3.13, 4.3.16 

Sec. 4.3: 4.3.2
Sec. 4.4: 4.4.1, 4.4.4, 4.4.13, 4.4.15
Sec. 4.5: 4.5.2, 4.5.6, 4.5.10, 4.5.11 

Sec. 4.7: 4.7.1, 4.7.5, 4.7.9
Sec. 4.8: 4.8.2, 4.8.4, 4.8.11, 4.8.12
Sec. 4.9: 4.9.2, 4.9.4

Sec. 5.2: 5.2.5
Sec. 5.3: 5.3.1, 5.3.11, 5.3.14, 5.3.18
Sec. 5.4: 5.4.1, 5.4.11, 5.4.15, 5.4.17

Sec. 5.5: 5.5.1, 5.5.14
Sec. 5.6: 5.6.1, 5.6.4, 5.6.6, 5.6.7
Sec. 5.7: 5.7.3, 5.7.12, 5.7.17

Jordan Canonical Forms: Find the Jordan Canonical Form of the following matrices (i.e., you need to compute M and J so that you have A=M*J*inv(M) where J is a Jordan matrix). (a) A = [ 1 1 ; 1 1] (b) B = [ 0 1 2 ; 0 0 0 ; 0 0 0 ] (Here I used the matlab notation for the matrices A, B.)

Sec. 6.1: 6.1.1, 6.1.2, 6.1.10
Sec. 6.2: 6.2.2, 6.2.8, 6.2.11
Sec. 6.3: 6.3.11

The following problems are not the part of the homework this time because I will cover Sec.7.3 in the last lecture (June 9, Wed), but this is still in the range covered by the final exam. Therefore, you should be able to solve these.
Sec. 7.3: 7.3.2 (a),(e),  7.3.11