Linear Algebra

Beginning Materials

• Course Syllabus
• Course Calendar
• Homework to Exam 1
• Homework to Exam 2
• Homework to Exam 3 (Updated April 4th)

Material by Chapter

1. Chapter 1:
   • For in-class discussion on 1.1-1.3
   • In-class example, 1.3 (span)
   • Homework Addition to 1.4: Do exercises 39-42 using Matlab. You can start by using the Matlab link below (it has the matrices already typed in for you).
   • Matlab Assignment (Assigned Monday, Feb 1): Section 1.2, #34. Section 1.4, #40, 42. Section 1.7, #41, 43. (Due Friday). See Matlab notes below for example material you can use.
   • Common errors in Chapter 1 (In class discussion)
2. Chapter 4:
   • Section 4.1, Exercise 33 (as a template for 32)
   • Section 4.3 Homework Help
   • Matlab script file for Section 4.2
   • We're working through Section 4.9 instead of 4.6. The new homework for that section is 1, 2, 3 ,9, 11 ,12.
   • Slides from the talk Monday (4.9)
   • (Same material as previous link, but not as nicely printed out)
3. Chapter 5
   • Primer on Complex Numbers
   • Solutions to the exercises on Complex Numbers
4. Chapter 6
   • Matlab file for Exercises (DataCh6A.m) This is a plain text file, so you can read it if you like. To have Matlab run this script, type the file name in the command window: DataCh6A
   • Matlab notes for the Line Of Best Fit
   • Homework Assigned on Friday, April 22: 6.5: 5, 10*, 25. 6.6 (Matlab) 8(b)*, 11, 12.
   • Matlab solution for 8(b)
   • Homework Assigned on Monday, April 25: 6.6: 3, 7, 12. 6.7: 3, 5, 7, 21*, 23*, 25* (You can use Maple or Wolfram Alpha to help on 25).
5. Chapter 7
   • Homework for 7.1 (Assigned on Wed) 1-4, 7, 9, 10, 13, 17*, 35*
   • Matlab files for the Spectral Decomposition.
     • An image file
     • A Matlab script
     • Another Matlab script
   • Homework for 7.4: 1, 2, 7, 9*, 14
   • More Matlab
     • Movie data for analysis (author.mat)
     • Script file "SampleAuthor.m"
     • Matlab Exercises with the SVD (From Friday)
     • "SphereData.mat" for the lab
     • "VanderExample.m" for the lab
   • Notes on the SVD

Matlab Notes

• Notes about getting started with Matlab (Updated to include examples from sections up to 1.7).
• YouTube Links mentioned in the notes:
  • A link to the full set of old tutorials (much clearer than the new version).
  • Here's a link to the new version, but is not very watchable on YouTube. If you see the movies locally (using the "Getting Started" link mentioned in the notes above, then these movies are watchable and good).
• Matlab M-file for the data in Section 1.4, Exercises 39 and 40
• Solutions to Matlab HW Set 1 (From Ch 1)

Material for Exams

Exam 1

1. Review questions, Exam 1
2. Solutions to the review questions (Typo on 18(c)- 5^4 instead of 5^3)

Exam 2

1. Summary of topics for Exam 2
2. Review questions, Exam 2
3. Solution to review

Exam 3

1. Summary of topics for Exam 3
2. Review questions, Exam 3
3. Review solutions, Exam 3

Final Exam Materials

1. Review sheet that focuses only on the last portion of class Typo: In (1), b=[1,2,1]^T (Fixed now)
2. Solutions to Review 4
3. Overview for the Final
4. Review Questions, Final
5. Solutions to the review questions (Typos: 11(a), eigenvectors were incorrect, and in (20), "onto" was left out (both corrected now).

Take Home Part of the Final Exam

1. Description of the three problems (FinalTH.pdf).
2. Re-edited SampleAuthor.m file (SampleAuthor.m) for you to use as a template for the third problem. Remember that this uses the data in "author.mat", linked from the "More Matlab" exercises.
3. A Template Matlab file you can use to get you started. (FinalExamTH.m)
4. FinalExamData1.mat is the data file referred to in Exercise 1. (Right-click, then "Save Link As...")
5. ExamFaceData.mat is the data set referred to in Exercise 3. Be sure to use SampleAuthor.m as a template for your answer.

Short Video about how to publish your Matlab code to PDF