21-241: Matrix Algebra
Schedule and Homework

Week #1: 
Aug 27 - 31
Homework 		Introduction to Linear Systems (1.1) 
Matrices and Gauss-Jordan Elimination (1.2) 
On the Solutions of Linear Systems (1.3) 
Week #2: 
Sept 5 - 7
Homework 		Introduction to Linear Transformations and their Inverses (2.1)  
Linear Transformations in Geometry (2.2)  
Administrative Note: Monday, September 3 is Labor Day. No Classes.
Week #3: 
Sept 10 - 14
Homework 		Linear Transformations in Geometry (2.2)
The Inverse of a Linear Transformation (2.3)
Matrix Products (2.4)
Week #4: 
Sept 17 - 21
Homework 		Image and Kernel of a Linear Transformation (3.1)
Subspaces of Rn; Bases and Linear Independence (3.2)  
The Dimension of a subspace of Rn (3.3)  
Week #5: 
Sept 24 - 28
Homework 		Coordinates (3.4) 
Introduction to Linear Spaces (4.1)
Exam #1 for Tolle's students will be given in class on Wednesday, September 26.
Greenberg's students take Exam #1 in class on Monday, September 24.
Week #6: 
Oct 1 - 5
Homework 		Linear Transformations and Isomorphisms (4.2) 
Coordinates in a Linear Space (4.3) 
Orthonormal Bases and Orthogonal Projections (5.1) 
Week #7: 
Oct 8 - 12
Homework 		Orthonormal Bases and Orthogonal Projections (5.1) 
Gram-Schmidt Process (5.2) 
Orthogonal Transformations and Orthogonal Matrices (5.3) 
Week #8: 
Oct 15 - 17
Homework 		Least Squares and Data Fitting (5.4)
Administrative note: No class on Friday, October 19 or Monday, October 22 (Midsemester Break).
Week #9: 
Oct 24 -26
Homework 		Introduction to Determinants (6.1) 
Exam #2 will be given in class on Friday, October 26.
Week #10: 
Oct 29 - Nov 2
Homework 		Introduction to Determinants (6.1) 
Properties of the Determinant (6.2) 
Week #11: 
Nov 5 - 9
Homework 		Cramer's Rule (6.3) 
Dynamical Systems and Eigenvectors (7.1) 
Finding the Eigenvalues of a Matrix (7.2) 
Finding the Eigenvectors of a Matrix (7.3) 
Week #12: 
Nov 12 - 16
Homework 		Finding the Eigenvectors of a Matrix (7.3) 
Diagonalization (7.4) 
Complex Eigenvalues (7.5) 
Week #13: 
Nov 19
Homework
Symmetric Matrices (8.1) 
Administrative note: Thanksgiving is Thursday, November 22. Class will not meet on Wednesday, November 21 or Friday, November 23. 
Week #14: 
Nov 26 - 30
Homework 		Quadratic Forms (8.2) 
Singular Values (8.3) 
Exam #3 will be given in class on Friday, November 30.
Week #15: 
Dec 3 - 7
Homework 		Singular Values (8.3) 
Inner Product Spaces (5.5) 
Week #16: 
Dec 10 		Final Exam Review 
Administrative note: Monday, December 10 is the last day of class.