Linear Algebra

Beginning Materials

• Course Syllabus
• Course Calendar
• Homework to Exam 1
• Homework to Exam 2 (and Spring Break)
• Final Homework Set

Material by Chapter

1. Chapter 1:
   • HW to discuss in Class, Section 1.3
   • HW to discuss in Class, Section 1.4
   • HOMEWORK CHANGE to 1.8/1.9. Turn in 24, 34 in section 1.8 and 36 from 1.9. In 1.9, practice problems are 17,25; 19, 27; 29-36. Due on Monday (instead of Friday).
   • Solutions to 1.8/9 Homework
2. Chapter 2:
   • Solutions to 2.1 Homework
   • Solutions to 2.2 Homework
3. Chapter 4:
   • Homework from Section 4.5 (Overhead slide)
4. Chapter 5:
   • Java demo of eigenvalues/vectors from MIT.
   • Java demo that seems to be working better
   • Homework for Complex Numbers
5. Chapter 6:
   • Change in HW, 6.3: Move 24 to "Don't turn in", Add 25, 26 to turn in. The Matlab examples from class are the next two links:
   • In class examples, 6.3: Example2.m
   • Homework template for 25, 26 in Section 6.3: Example3.m
   • First appearance of Gram-Schmidt in a 1907 paper by Schmidt (although some claim that Laplace used the technique earlier).
   • From Monday, May 2: Add the following two lines of best fit
     • Explanation
     • Matlab file with data: Mammals.m
     • A text file with data: alpsData.txt
6. Link to Class Faces and Basis Vectors
7. Selected Homework Solutions (using Matlab)
   1. Section 6.3
   2. Section 6.4
   3. Section 6.5
   4. Section 6.7
   5. Last Homework (not turned in)

Matlab Notes

• This is "Handout 1" from the HW schedule. The homework is to do the following from the text (in Matlab):
  • Exercise 1, 2, 5, 7 on pg 382 (Section 6.1)
  • Exercise 11, 13 (Section 6.1)
  • Exercise 33 (Section 6.1) NOTE: look at the help file for "randi"
  • Exercise 35 (Section 6.2)
  • Matlab template script, MatlabHW01.m
• More Matlab samples (HW: Nothing new- Continue with what was assigned).

Exam 1 Material

• Exam 1 Review Questions
• Solutions to Exam 1 Review Questions )

Exam 2 Material

• Summary for the second exam
• Exam 2 Review Questions
• Solutions to the Review Questions

Exam 3 Material

• Summary for the third exam
• Exam 3 Review Questions (Corrected)
• Review Solutions

Final Exam Materials

• Overview for the Final
• Review Questions
• Review Solutions
• Take Home Portion of the Final (due Tuesday, May 17). Download the data below (right-click and choose: Save Link As). To load the data into Matlab, type (either in the command window or in a script file) load, then the filename:
  load FinalExamData1
  or
  load FacesBW
  Here is the data:
  • Data set 1: FinalExamData1.mat
  • Faces in Black and White: FacesBW.mat