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Welcome to Math 3333: Linear Algebra I, this Spring 2022!

For the most up-to-date content, please refresh the page at each visit!

Tentative Course Schedule

(Credit: Slides were originally written by Greg Muller and Karen Seyffarth, used with thanks)

Week 17 May 9 - May 13 (Finals week)

The final exam time has been scheduled by the university, see One.

Week 16 May 2 - May 6 (Exam prep period)

Live LecturePDF notes
Live lecture 18 Linear transformations (revisited)lecture18.pdf

Week 15 Apr 25 - Apr 29

DayLecture videoPDF notes
M17a Bases and dimension for vector spaces (part a)lecture17a.pdf
W17b Bases and dimension for vector spaces (part b)lecture17b.pdf

Week 14 Apr 18 - Apr 22

DayLecture videoPDF notes
MReviewExam 2 study guide
WExam 2Exam 2 study guide
F16b Vector spaces (subspaces)lecture16b.pdf

Week 13 Apr 11 - Apr 15

DayLecture videoPDF notes
M15b Eigenbases (finding eigenbases)lecture15b.pdf
W15c Eigenbases (diagonalization)lecture15c.pdf
F16a Vector spaceslecture16a.pdf

Week 12 Apr 4 - Apr 8

  • This week, watch or read lecture 14a, 14b, 15a. Lecture videos are here. Links to PDF lecture notes are below.
  • Work on the last question on wk12 wksheet
  • Start and finish wk13 wksheet
  • No pictures of board work during week 12 (ask a classmate if you miss class)
DayLecture videoPDF notes
M14a Basis algorithm for the kernel of a matrixlecture14a.pdf
W14b Rank and dimension (no row reduce)lecture14b.pdf
F15a Eigenbaseslecture15a.pdf

Week 11 Mar 28 - Apr 1

DayLecture videoPDF notesactivity
M12b Spanning Sets and Linear Independencelecture12b.pdf 
W13a Baseslecture13a.pdfTHIRD QUIZ, see quiz study guide, time to practice team presentation
F13b Bases (basis computations and dimensions)lecture13b.pdf 

Week 10 Mar 21 - 25

DayLecture videoPDF notes
M11a Subspaceslecture11a.pdf
W11b Subspaces, how to write proofslecture11a.pdf
F12a Spanning setslecture12a.pdf

Week 9 Mar 14 - 18 Spring break

Week 8 Mar 7 - 11

See Canvas > Assignments and Gradescope for deadlines.

  • Wed: Exam 1
  • This week, watch or read lecture 10a and 10b. Lecture videos are here. Links to PDF lecture notes are below.
  • Do Q8 of wk07 wksheet on Mon
  • Did first half of wk10 wksheet on Fri. There are no wksheets labeled 08, 09 because of exam week and spring break.
M10a Linear transformationslecture10a.pdf
WExam 1Exam 1 study guide
F10b Linear transformations, part blecture10b.pdf

Week 7 Feb 28 - Mar 4

DayLecture videoPDF notesworksheet dueactivity
M8b Characteristic polynomialslecture8b.pdfwk06 wksheet due video: introduce your team slides and videos dueSECOND QUIZ, see quiz study guide, time to work on reading the materials for team project
W9a Vector geometrylecture9a.pdf  
F9b Vector geometry with matriceslecture9b.pdf  

Week 6 Feb 21 - Feb 25

DayLecture videoPDF notesReading hw dueworksheet dueactivity
M7b Eigenvectorslecture7b.pdf  a few minutes to finalize plan for Wed: introduce your team
W8a Characteristic polynomialslecture8a.pdfread 7b, 8a, 8b due Wed Second quiz Week 6 QUIZ (canceled), present and record: introduce your team (class activity)
Fsnow day    

Suggested practice for lecture 8a (finding eigenvalues):

  • Section 3.3 Exercises 1(b,d,f,h) and 3. In Exercise 3.31, you don’t need to find the matrix P.

Week 5 Feb 14 - Feb 18

DayLecture videoPDF notesReading hw dueworksheet dueactivity
M6a Determinantslecture6a.pdf   
W6b Determinants, second partlecture6b.pdfread 6a, 6b, 7a duewk05 wksheet due 
F7a Cofactors (and how they relate to determinants and inverses)lecture7a.pdf  Form a presentation team during class! Work on slides for next Wed

Suggested practice for lecture 6 (check with solution manual):

  • Section 3.1, Exercise 5
  • Section 3.2, Exercises 2(b,d,f), 6(b)

Suggested practice for lecture 7a (cofactors):

  • Section 3.1 (The Cofactor expansion, pg 156), Exercise 1(b,d,f,h,j,l,n,p) and 26

Week 4. Feb 7 - 11

DayLecture videoPDF notesReading hw dueworksheet duequiz or exam
M4b Matrix multiplication (properties of matrix arithmetic)lecture4b.pdf   
W5a Matrix inverseslecture5a.pdfread 4b,5a,5b duewk04 wksheet dueFirst quiz Week 4 QUIZ, see quiz study guide
F5b Matrix inverses: algorithmlecture5b.pdf   

Suggested practice for lecture 5a, 5b:

  • Textbook Section 2.4 (inverses), pg 91-92, 94 Exercises 1, 4, 6, and 28

Week 3. Jan 31 - Feb 4

DayLecture videoPDF notesReading hw dueworksheet duequiz or exam
M3a Matrices and vectorslecture3a.pdf   
W3b Matrices and vectors: matrix-vector multiplicationlecture3b.pdfread 3a,3b,4a duewk03 wksheet dueNo quiz this week
F4a Matrix multiplicationlecture4a.pdf   

Lecture 3a, 3b loosely follow the textbook section 2.1, 2.2. Suggested practice (see Student Solution Manual):

  • Section 2.1, Exercises 2bdfh, 3bdfh, 8b, and 16b. (Note: A matrix is called symmetric if it is equal to its transpose)
  • Section 2.2, Exercises 2b and 10bdfh

Lecture 4a, 4b loosely follow the textbook section 2.3. Suggested practice (see Student Solution Manual):

  • Section 2.3, pg 77-78 Exercises 3, 6, 16

Week 2. Jan 24 - Jan 28

DayLecture videoPDF notesReading hw dueworksheet duequiz or exam
M1b Systems of lin eqs (con’t)lecture1b.pdf   
W2a Gaussian eliminationlecture2a.pdfread1a,1b,2a,2b duewk02 wksheet dueNo quiz yet
F2b Gauss. elmn. (rank, homogeneous system)lecture2b.pdf   

Lecture 1a, 1b, 2a, 2b loosely follow the textbook section 1.1 - 1.2. For extra practice, do …

  • Section 1.1, Exercises 7, 9, 11, and 14
  • Section 1.2, Exercises 3, 7, and 16

Week 1. Jan 18 - Jan 21

DayLecture videoPDF notesReading hw dueworksheet duequiz or exam
WFirst day of class    
F1a Systems of linear equationslecture1a.pdfread0 duewk01 wksheet (practice)due