Math 417: Matrix Algebra

Syllabus

The syllabus can be found here.

Schedule

Date Topics Book Sections Homework Notes and Recording Additional Notes
2022-01-05 Wed Linear Systems, Gauss Elimination and Matrices 1.1 and 1.2   Notes & Recording  
2022-01-07 Fri Row operations and Echelon form 1.2 1.1: 14, 20, 30; 1.2: 10, 44, 45 (use calculator for 45) Notes & Recording Homework problems due [2022-01-14 Fri] on Canvas
2022-01-10 Mon Matrix operations, linear combinations 1.3 1.3: 4, 48ab, 58 Notes & Recording Homework problems due [2022-01-21 Fri] on Canvas
2022-01-12 Wed Matrix products 2.3 2.3: 2, 4, 8 Notes & Recording Homework problems due [2022-01-21 Fri] on Canvas
2022-01-14 Fri Linear transformations 2.1 2.1: 8, 12, 26, 28 (look at 2.1 Example 5 for 26, 28) Notes & Recording Homework problems due [2022-01-21 Fri] on Canvas
2022-01-17 Mon No class: MLK Day        
2022-01-19 Wed Injectivity, surjectivity, and invertibility     Notes Recording did not work for this lecture
2022-01-21 Fri Inverting matrices 2.4 2.4: 2,6,34, 40, 42 Notes & Recording Canvas Reflection due today at 11:59pm; Quiz on [2022-01-28 Fri]; Homework problems due [2022-02-04 Fr
2022-01-24 Mon Linear maps in geometry 2.2   Notes & Recording Quiz on [2022-01-28 Fri]; We will continue 2.2 on [2022-01-26 Wed]
2022-01-26 Wed Linear maps in geometry continued 2.2 2.2: 20, 32; 2.3: 30 Notes & Recording Quiz on [2022-01-28 Fri]; Homework problems due [2022-02-04 Fri].
2022-01-28 Fri Span and image of a linear transformation 3.1 3.1: 6, 24, 32, 34, 37, 38 Notes & Recording Quiz in last 15 minutes of class; Homework problems due [2022-02-11 Fri].
2022-01-31 Mon Subspaces, Kernel, and Bases 3.2 3.2: 26, 34 Notes & Recording Homework problems due [2022-02-11 Fri]
2022-02-02 Wed Computing bases 3.3 3.3: 30, 38 Notes & Recording Homework problems due [2022-02-11 Fri]; Problem 3.3: 90 is also a cool problem.
2022-02-04 Fri Rank-Nullity theorem, coordinates 3.3   Notes & Recording Post questions to Piazza that you want to review on [2022-02-07 Mon]
2022-02-07 Mon Review for Midterm 1     Notes & Recording  
2022-02-09 Wed Midterm 1 (1.1--3.3)        
2022-02-11 Fri Coordinates, similar matrices 3.4 3.4: 2, 4, 20, 26, 44 Notes & Recording Homework problems due [2022-02-18 Fri].
2022-02-14 Mon Linear spaces 4.1 4.1: 47, 48 Notes & Recording Homework problems due [2022-02-25 Fri]
2022-02-16 Wed Linear transformations of linear spaces 4.2 4.2: 10, 14, 22, 54 Notes & Recording Homework problems due [2022-02-25 Fri]; Quiz on 3.4, 4.1, 4.2 [2022-02-23 Wed]
2022-02-18 Fri Matrix of a linear transformation between linear spaces 4.3 4.3: 23, 24, 46 Notes & Recording Homework problems due [2022-02-25 Fri]; Quiz on 3.4, 4.1, 4.2 [2022-02-23 Wed]; Reflection on Canvas due [2022-02-25 Fri]
2022-02-21 Mon Dot product, orthogonal bases, orthogonal projections 5.1 5.1: 16, 26, 28 Notes & Recording Homework due [2022-03-11 Fri]; Quiz on 3.4, 4.1, 4.2 [2022-02-23 Wed]; Reflection on Canvas due [2022-02-25 Fri]
2022-02-23 Wed Gram-Schmidt process 5.2 5.2: 4, 6, 18, 29 Notes & Recording Homework due [2022-03-11 Fri]; Reflection on Canvas due [2022-02-25 Fri]
2022-02-25 Fri Gram-Schmidt continued, QR factorization, orthogonal transformations 5.2, 5.3 5.3: 2, 6, 8, 10 Notes & Recording Homework due [2022-03-11 Fri].
2022-02-28 Mon No class: Mid-Winter Recess        
2022-03-02 Wed No class: Mid-Winter Recess        
2022-03-04 Fri No class: Mid-Winter Recess        
2022-03-07 Mon Orthogonal matrices, matrix transpose, and least squares 5.3, 5.4 5.4: 20, 36, 38 Notes & Recording Homework problems due [2022-03-18 Fri]
2022-03-09 Wed Least squares 5.4   Notes & Recording  
2022-03-11 Fri Determinants 6.1 6.1: 12, 14, 24, 26, 40, 44 Notes & Recording Homework problems due [2022-03-18 Fri]
2022-03-14 Mon Computing determinants 6.1, 6.2 6.2: 2, 12, 14, 38, 42 Notes & Recording Homework problems due [2022-03-23 Wed]
2022-03-16 Wed Cofactor expansion and geometry of determinants 6.2, 6.3 6.3: 2, 18 Notes & Recording Homework problems due [2022-03-23 Wed]
2022-03-18 Fri Cramer's Rule and applications 6.3   Notes & Recording  
2022-03-21 Mon Diagonalization and eigenvalues 7.1   Notes & Recording  
2022-03-23 Wed Review for Midterm 2        
2022-03-25 Fri Midterm 2        
2022-03-28 Mon Computing eigenvalues 7.1, 7.2 7.1: 4, 6, 12, 16, 18 Notes & Recording Homework problems due [2022-04-08 Fri]
2022-03-30 Wed Computing eigenvectors and eigenspaces 7.2, 7.3 7.2: 8, 12, 18, 38 Notes & Recording Homework problems due [2022-04-08 Fri]
2022-04-01 Fri Eigenvalues and similarity 7.3 7.3: 8, 10, 24 Notes & Recording Homework problems due [2022-04-08 Fri]
2022-04-04 Mon Complex eigenvalues 7.5 7.5: 14, 20 Notes & Recording Homework problems due [2022-04-15 Fri]; Quiz (7.1--7.3) on [2022-04-11 Mon].
2022-04-06 Wed Dynamical Systems 7.1 7.1: 68, 70 Notes & Recording Homework problems due [2022-04-15 Fri]; Quiz (7.1--7.3) on [2022-04-11 Mon].
2022-04-08 Fri More dynamical systems 7.4 7.4: 3, 34 Notes & Recording Homework problems due [2022-04-15 Fri]; Quiz (7.1--7.3) on [2022-04-11 Mon].
2022-04-11 Mon Symmetric Matrices 8.1 8.1: 4, 14, 16 Notes & Recording Reflection due [2022-04-15 Fri]. Ch 8 Homework problems not collected.
2022-04-13 Wed Singular Value Decomposition 8.3 8.3: 4, 6 Notes & Recording Reflection due [2022-04-15 Fri]. Ch 8 Homework problems note collected.
2022-04-15 Fri Singular Value Decomposition and review 8.3   Notes & Recording Reflection due [2022-04-15 Fri]; See this website for a cool demo of SVD for image compression.
2022-04-18 Review     Notes & Recording  

Date published: Wednesday, January 5, 2022