Math 22
Linear Algebra with Applications
Fall 2013


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Syllabus and homework assignments

wk date reading topic homework

1 9/16 Ch 1.1 Systems of eqns 1.1: 1, 9, 13
9/18 Ch 1.2 Row reduction 1.1: 15, 19, 21, 23; 1.2: 1, 7, 11, 13, 15, 19, 21, 29, 31
9/20 Ch 1.3 Vectors 1.3: 1, 3, 5, 7, 11, 15, 19, 24
Problem set #1 due on Wed Sep 25
2 9/23 Ch 1.4 Matrix eqn 1.4: 3, 7, 9, 11, 13, 15, 17, 19, 21, 23
9/25 Ch 1.5 Solution sets 1.5: 1, 5, 7, 11, 13, 17, 19, 23, 29, 31
9/27 Ch 1.7 Linear dependence 1.7: 1, 3, 5, 7, 11, 15, 17, 19, 33, 35, 37
Problem set #2 due on Wed Oct 2
3 9/30 Ch 1.8 Linear transformation 1.8: 1, 3, 7, 9, 11, 21; 1.9: 17, 19, 25, 27, 29
10/2 Ch 1.9 Matrix of linear transf 1.9: 1, 3, 5, 9, 29, 30, 35
10/4 Ch 2.1 Matrix algebra 2.1: 1, 3, 5, 7, 9, 11
Problem set #3 due on Wed Oct 9
4 10/7 Ch 2.2 Inverse matrix 2.2: 1, 3, 5, 13, 21, 23, 31, 33
Tue 10/8 Midterm exam I
10/9 Ch 2.3 Inv Matrix Theorem 2.3: 1, 3, 5, 7, 11, 13, 17, 19, 23
10/11 Ch 2.8 Subspaces 2.8: 1, 3, 7c, 9, 11, 13, 17, 19, 23, 25
Problem set #4 due on Wed Oct 16
5 10/14 Ch 2.9 Dimension 2.9: 1, 3, 5, 7, 9, 11, 13, 15, 19, 21, 25
10/16 Ch 3.1 Determinants 3.1: 1, 3, 9, 13, 15; 3.2: 5, 7, 11, 13
10/18 Ch 3.2 Properties 3.2: 37, 39; 3.3: 19, 21, 23, 27, 29
Problem set #5 due on Wed Oct 23
6 10/21 Ch 5.1 Eigenvalues 5.1: 1, 3, 5, 7, 9, 15, 17, 21; 5.2: 1, 3, 9, 11
10/23 Ch 5.2 Characteristic eqn 5.1: 25; 5.2: 15, 17, 19, 21
10/25 Ch 5.3 Diagonalization 5.3: 5, 7, 9, 11, 13, 15, 19, 23, 25, 27
7 10/28 Ch 5.4 Change of basis 5.4: 11, 13, 15, 17
Tue 10/29 Midterm exam II
10/30 Ch 6.1/2 Orthogonality 6.1: 27, 29; 6.2: 1, 5, 7, 9, 11, 13
11/1 Ch 6.3 Projections 6.3: 1, 5, 7, 9, 11
Problem set #6 due on Wed Nov 6
8 11/4 Ch 6.5 Least-Squares 6.5: 1, 3, 5, 13, 17abcd, 25
11/6 Ch 6.6 Regression 6.6: 1, 3, 7
11/8 Ch 7.1 Symmetric matrices 6.2: 17, 21, 29; 7.1: 1, 3, 5, 7, 9, 11, 13, 15, 17
Problem set #7 due on Wed Nov 13
9 11/11 Ch 7.2 Quadratic forms 7.2: 1, 3, 5, 9, 11, 13
11/13 Ch 7.5 Covariance (no homework)
11/15 Ch 7.5 PCA 7.5: 1, 3, 7, 9
10 11/18 Final exam review
Fri 11/22: Final exam