## Text: David Lay, Linear Algebra and Its Applications, 3rd Ed.

#### Homework

F. 7  An Intro Application;
Systems of Linear Equations
1.1-1.2 1. Read Note to Student, Intro to Ch. 1, 1.1-1.2; 1.1: 1, 11, 17-19, 29-32; 1.2: 2, 23, 24. Also fill out form:  http://fusion.stolaf.edu/formcreator/
F. 9  Vectors   1.2,1.3 2. Read 1.3; 1.2: 7, 12, 25-28; 1.3: 7, 10, 13, 18;
F.11  Lab 1: Introducing Maple and Maple TA  1.3 3. Read 1.4; Complete Lab 1;

F.14  Matrix Equations 1.3, 1.4 4. Read 1.5; 1.3: 21, 26, 27; 1.4: 1, 4, 6, 8, 10, 12-15, 18, 20
F.16  Solutions of Linear Systems  1.5 5. Read 1.6; 1.5: 1, 6, 11, 16, 20, 22, 26; 1.6: 1
F.18  Applications of Linear Systems 1.6 6. Read 1.7; Do TA-1 and 2 for Monday; 1.5: 30, 32; 1.6: 3, 4 plus 2 more chosen from 6, 9, 13, 14

F.21 Linear Independence 1.7   7. Reread 1.7; 1.7: 1, 4, 6, 9, 15-20, 30; Maple TA-3 (due Wed)
F.23  Linear Independence, Linear Transformation; QUIZ 1.7  8. Read 1.8; Do TA-4 (due Fri.);  1.7: 39, 40, 41, 43; 1.8: 1-4, 7 (Problems due March 2)
F.25 Linear Transformations 1.8  9. Reread 1.8; TA-5 (for Wednesday); 1.8:  6, 8, 9, 12, 17, 18  (Problems due March 4)

F.28  Test 1        Covers Sections 1.1-1.7
M. 2  Linear Transformation Matrix   1.8 10. Read 1.9; TA-6 (due Monday) 1.8: 19, 20 25, 30, 31, 37, 39; 1.9: 1, 2, 13
M. 4 One-to-one & Onto Transformations,  Lab 2: Graphing Systems   1.9      11. Read 2.1; No Maple TA; Complete Lab 2 (due M. 9)

M. 7 One-to-one & Onto Transformations, 3-D graphs  1.9  12. Read 1.10;  TA-7 (due Wed); 1.9: 6, 10, 14, 15, 17, 18, 25, 29, 30, 37; 2.1: 2, 4
M. 9  Application 2; Matrix Algebra 1.10, 2.1  13. Read 2.2; TA-8 (due Fri.); 1.10: any 2 problems; 2.1: 9, 10, 11, 17, 27, 39, 40; 2.2: 3, 6
M.11  Invertible Matrices  2.2,2.3    14.Read 2.3; TA-9 (due Mon.); 2.2: 7, 13, 16, 18*, 30, 31, 35; 2.3: 2, 6, 8; [*For 18, solution includes A, P, P^{-1}]

M.14  Lab 3: Movies w/ Maple    15. Read 3.1; TA-10 (due Wed.) Complete Lab 3
M.16  IMT Theorem 2.2, 2.3 16. Read 3.1,3.2; TA-11 (due Fri.);  2.3: 15-19 (reference parts of IMT), 27; 3.1: 1, 3
M.18  Determinants 3.1, 3.2 17. Read 4.1; No TA; 3.1: 9, 11, 26, 28, 30-32;  3.2:  31-36
Spring Break
M.30 Determinants & Vector Spaces 4.1 18. Read 4.1 & 4.2; TA-12 (due Fri.); 4.1: 1, 2, 6, 8, 14, 15
A. 1 Vector Spaces & Subspaces 4.1 19. Reread 4.2; TA-13 (due Wed); 4.1: 10, 12,16, 27-29; 4.2: 2, 3 (problems due Fri.)

A. 4 Test 2   Covers:  1.8-1.9, 2.1-2.3, 3.1-3.2
A. 6 Null and Column Spaces 4.2  20.Read 4.3; TA-14 (due Fri.); 4.2:6, 7, 16, 21, 31, 32, 33, 37
A. 8  Bases 4.2-4.3 21. Reread 4.3; TA cancelled for Mon; 4.3: 1, 3, 7, 11, 14, 16, 19, 23

A.11  L. Independent Sets, Bases  4.3  22. Read 4.4; TA-15 (due Wed); 4.3: 24, 29-31*; 4.4: 1, 4, 5, 8 [*For  31, start by writing out the equation for lin. dep. of v_1,...,v_p]
A.13   Coordinate Systems 4.4   23. Read 4.5; TA-16 (due Fri); 4.4: 13, 14, 17-20, 27, 31, 32
A.15 Dimension, 4th  Dimension? 4.5 24. Read 4.6 (p. 265-); TA-17 (due Mon); 4.5: 1, 11, 14, 21, 25-27; 4.6: Write out carefully reasoned answers for 20, 22, 24

A.18 Dimension, Rank   4.5, 4.6 25. Read 4.9; TA-18 (due Wed);   4.6: 1, 4, 8, 9 (ignore row space questions) ; Lab 4;
A.20  Markov Chains 4.9  26. Read 5.1; TA-19 (due Fri); Add to previous 4.6 assignment:  4.9: 1-4, 8, 13  (the combined problem sets are due Mon.)
A.22  Eigenvectors & values  5.1 27. Reread 5.1; TA-20 (due Mon); 4.9:  21a-c; 4.S: 7-9; 5.1: 2, 6, 11, 12

A.25  Eigenvectors & values (Lab 5) 5.1 28. Read 5.2; TA-21 (due Wed); Lab 5
A.27  Characteristic Equation  5.2  29. Read 5.3; TA-22 (due Fri.); 5.1: 23, 25, 31, 32,  35, 38; 5.2: 2, 8, 9, 15, 25 (For 25, see example 5)
A.29 Diagonalization 5.3 30. Read 5.4; No TA due Mon.; 5.3: 2, 6, 17-19, 23*, 24*, 25*, 27 (*assume the eigenvalues are all distinct)

M.2  Diagonalization (Lab 6) 5.3  31. No TA, Lab 6 (due May 9), Eigen-vector applications web search: e-mail cederj one or two sentences describing each of 2 or more applications - include links to the websites (due May 9)
M.4    E-vectors & L. Trans.  5.4  32.No TA, Read 5.4, 6.1; 5.4: 1, 3, 5*, 7, 8, 11, 13 (*For 5, omit (b) , add 5(d): Use matrix from (c) to redo part (a) (due May 11)
M.6 Test 3    Covers: 4.1-4.6; 4.9, 5.1-5.3

M.9 Eigenvectors & L. Trans.   5.4    33.  Read 6.2; TA-23 due Wed; 6.1: 2, 5, 8, 10, 14, 28 (Due May 13)
M.11 Inner Products, Orthogonal Sets 6.1-6.2  346.2: 10, 11, 13, 18, 20, 22  (Due May 16)
M.13  Orthogonal Sets 6.2      No Assignment

M.16 Review     Take-home Maple Final  (25 pts)
M. 21

In-Class Final Exam

2:30 p.m.  In-Class Final Exam - 100 pts

Rules for Take-home Maple Final
1. Can be picked up anytime starting ____-- due within 48 hours but no later than 2:30 May 21. Allow time for computer glitches.
2. Can be done with 1 partner (In an exceptional case an extra partner may be allowed with prior approval by professor.)
3. You may use previous Maple labs, Maple files contained in the Class Folder, your text and other written resources.
4. You may not discuss your Final Project with anyone other than your partner and the professor..
5. There will be a related question on the In-Class Final Exam.
6. The Final Maple Take-home Project will be worth 25 points; the In-Class Final will be worth 100 points.

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