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MAS 3105 -- Linear Algebra and its Applications

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Suggested Homework and Reading

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Week 1. Row Reduction (Gaussian Elimination).
Reading: Sections 1.1, 1.2
HW: 1.1. 2,4,6,7,9,11,19; 1.2. 3,5,7,9,10,17,21,22,23,29

Week 2. Vector Equations and Matrices.
Reading: Secions 1.3
HW: 1.3. 2,5,7,10,11,13,17

Week 3. Solutions to Linear Equations.
Reading: Section 1.4, 1.5, 1.6
HW: 1.4. 1,6,8,11,13,15,17,21,23,24; 1.5. 1,5,7,11,13,15,17,23,24

Week 4. Linear Independence.
Reading: Section 1.7
HW: 1.7. 1,3,5,7,9,13,15,19,21,22

Week 5. Linear Transformations and Matrices.
Reading: Section 1.8, 1.9, 1.10
HW: 1.8. 1,3,5,7,9,11,13,21,22; 1.9. 1,3,5,7,11,15,17,21,23,24

Week 6. Matrix Operations, Midterm
Reading: Section 2.1
HW: 2.1. 1,3,5,7,9,11,15,19,21

Week 7. Matrix Inverses
Reading: Sections 2.2, 2.3
HW: 2.2. 1,3,7,9,10,11; 2.3.1,3,5,7,11,12

Week 8. Subspaces, Dimension and Rank
Reading: Sections 2.8, 2.9
HW: 2.8. 3,5,7,9,11,13,15,17,21,23,27,31; 2.9. 3,5,7,9,11,13,17,18,19,21,23;

Week 9. Determinants continued..
Reading: Sections 3.1, 3.2
HW: 3.1 1,5, 9, 13, 17, 21,23,25,27,29,37,39; 3.2 1,2,3,4,5,9,11,15,17,19,21,25,27,28,29,39

Week 10. Cramer's Rule, Midterm (Thursday)
Reading: Section 3.3
HW: 3.3 3,5,11,13,19,23,27,28; Chapter 3 Supplementary exercises: 1,5,9,11

Week 11. Eigenvalues and Eigenvectors, Characteristic Equation
Reading: 5.1, 5.2,5.3
HW: 5.1. 1,3,5,7,11,13,15,21,25; 5.2. 1,3,5,9,11,15,17

Week 12. Diagonalization, Iterative Estimates
Reading: 5.3,5.4,5.8
HW: 5.3. 1,5,7,9,11,14,17,21,23,27; 5.4. 1,3,13,15,17; 5.8. 1,3,5,

Week 13. Inner Products and Orthogonality
Reading: 6.1,6.2
6.1 1,3,5,7,9,11,13,15,17,19; 6.2. 1,3,5,7,9,11,13,15,17,21,23

Week 14. Gram-Schmidt Process and Least Squares Problems
Reading: 6.3,6.4
6.3 1,3,5,7,9,11,13,15,17,21,22; 6.4 1,3,5,7,9,11,13,15,17,18

Week 15.
Reading 6.5
6.5. 1,3,5,7,9,11,17,18