Homework

Problems assigned based on the MWF lectures will be due the following Monday. I will choose a few problems from each homework set to grade. You will not be told which problems will be graded beforehand. Late homework will not be accepted. Homework that is not stapled will not be be accepted. Homework with frayed edges will not be accepted. Your instructor reserves the right to give no credit for messy or grossly incomplete homework. The homework schedule is given below:

Week	Dates	Topics	Problems
1	01/15-01/19	Systems of Linear Equations Row Echelon Form	1.1: 1ac, 3ac, 6adf 1.2: 1, 2ac, 5ack (for these, just find the row echelon form and find all possible solutions)
2	01/22-01/26	Matrix Algebra	1.3: 2, 7b, 10, 13ac, 14bc, 24, 26
3	01/29-02/02	Elementary Matrices Determinant of a Matrix	1.4:3, 6, 8, 10a-f, 15 2.1: 3abcd, 6
4	02/05-02/09	Determinant of a Matrix Properties of Determinants Cramer's Rule	2.1: 4 2.2: 1, 3, 4, 12 2.3: 1ac, 2abc
5	02/12-02/16	Vector Spaces Subspace	3.1: 3, 6 (A1,A4,A5,A6 only), 11 3.2: 1ab, 2ab, 4, 5abc, 10abc, 14
6	02/19-02/23	Linear Independence Basis and Dimension	3.3: 1ac, 2abc, 6ab, 7abc, 11 3.4: 3, 5, 8, 10, 14ab
EXAM 1: Friday, February 23
7	02/26-03/02	Change of Basis Row & Column Space	3.5: 1a, 2a, 3a, 4 3.6: 2ab, 3, 4cd, 5a
8	03/05-03/09	Linear Transformations Matrix Representations Similarity	4.1: 5ac, 6ab, 7d, 17c 4.2: 2c, 3b, 6, 18a 4.3: 2ab, 4, 5abc
9	03/12-03/16	Scalar Product Orthogonal Subspaces	5.1: 1ab, 4 5.2: 1a, 2a, 3b, 4
10	03/19-03/23	Least Squares Problems Inner Product Spaces	5.3: 3, 5, 6 5.4: 4, 7
11	04/02-04/06	Orthonormal Sets Gram-Schmidt Orthogonalization	5.5: 1, 2a
EXAM 2: Friday, April 6
12	04/09-04/13	Gram-Schmidt Eigenvalues and Eigenvectors	5.6: 3, 5 6.1: 1aeg
13	04/16-04/20	Systems of ODEs Diagonalization	6.2: 1af, 2b 6.3: 1ad, 26ac, 28a
14	04/23-04/27	Hermitian Matrices Quadratic Forms (as time permits)	6.4: 6.6:
15	04/30-05/04	Positive Definite Matrices (as time permits)	6.7: