21-241 Matrix Algebra
 Schedule and Homework

  Important: Do not make travel plans which require you to leave campus before the evening of Tuesday, December 13. Enrollment Services has scheduled our Final Exam for 1-4 PM, December 13, Doherty Hall 2210. Hence you should make your travel plans accordingly. If your parents will be making reservations for you, please keep them informed so that they do not make conflicting plans for you. No one will be permitted to take the Final Exam early.  

Week #1: 
Aug 29 - Sept 2
Homework 1 due Fri 9-9 		Systems of Linear Equations (1.1) 
Row Reduction and Echelon Forms (1.2) 
Week #2: 
Sept 7 - 9
Homework 2 due Fri 9-16 		Vector Equations (1.3) 
The Matrix Equation Ax = b (1.4)
Solution Sets of Linear Systems (1.5) 
Week #3: 
Sept 12 - 16
Homework 3 due Fri 9-23
Chapter 1 Example Solutions 		Applications of Linear Systems (1.6)
Linear Independence (1.7)
Week #4: 
Sept 19 - 23
Homework 4 due Fri 9-30 		Introduction to Linear Transformations (1.8)
The Matrix of a Linear Transformation (1.9)
Matrix Operations (2.1)  
The Inverse of a Matrix (2.2)
Week #5: 
Sept 26 - 30
Homework 5 due Fri 10-7 		Exam #1 will be given during the lecture hour on Monday, Sept 26.
Characterizations of Invertible Matrices (2.3)  
Applications to Computer Graphics (2.7)
Week #6: 
Oct 3 - 7
Homework 6 due Fri 10-14 		Subspaces of R^n (2.8)
Dimension and Rank (2.9) 
Week #7: 
Oct 10 - 14 		Introduction to Determinants (3.1) 
Properties of Determinants (3.2) 
Week #8: 
Oct 17 - 19
Homework 7 due Wed 10-26 		Eigenvectors and Eigenvalues (5.1)
Week #9: 
Oct 24 - 28 		The Characteristic Equation (5.2) 
Diagonalization (5.3)
Exam #2 will be given during the lecture hour on Friday, Oct 28.
Week #10: 
Oct 31 - Nov 4
Homework 8 due Wed 11-9 		Complex Eigenvalues (5.5)  
Discrete Dynamical Systems (5.6)
Week #11: 
Nov 7 - 11
Homework 9 due Wed 11-16
Example Solutions Chapters 2,3,5 		Inner Product, Length, and Orthogonality (6.1)
Orthogonal Sets (6.2)
Orthogonal Projections (6.3)
Week #12: 
Nov 14 - 18
Homework 10 due Mon 11-21 		The Gram-Schmidt Process (6.4)
Least-Squares Problems (6.5)
Applications to Linear Models (6.6)
Week #13: 
Nov 21 		Diagonalization of Symmetric Matrices (7.1)
Week #14: 
Nov 28 - Dec 2
Homework 11 due Mon 12-5
Example Solutions Chapters 6,7 		Diagonalization of Symmetric Matrices (7.1)
Quadratic Forms (7.2)
Exam 3 will be given during the lecture hour on Friday, Dec 2.
Exam 3 Practice Problems
Week #15: 
Dec 5 - 9
Homework 12 due Fri 12-9 		Constrained Optimization (7.3)
The Singular Value Decomposition (7.4)
Final Exam is Tue, Dec 13, 1-4 PM, DH 2210