MATH 377.01
INTRODUCTION TO LINEAR ALGEBRA AND MATRICES
SUMMER II, MTUWTHF 12:00-1:50
OFFICE HOURS: Mon/Wed 10:00-11:00, Thurs 2:00-3:00, or by appointment
HOMEWORK
ASSIGNMENTS/QUIZZES/EXAMS
|
DATE
|
| Homework 1: 1.1, 1.2, 1.3 | Monday, July 14 |
| Homework 2: 1.4, 1.5, 1.7, 1.10 | Thursday, July 17 (*CHANGED) |
| Exam 1: 1.1, 1.2, 1.3, 1.4, 1.5, 1.7, 1.10 | Thursday, July 17 (*CHANGED) |
| Homework 3: 1.8 and 1.9 | Tuesday, July 22 |
| Homework 4: 2.1, 2.2, 2.3, 2.8 | Thursday, July 24 |
| Exam 2: 1.8, 1.9, 2.1, 2.2, 2.3, 2.8 | Thursday, July 24 |
| Homework 4: 2.9, 3.1, 3.2, 3.3 | Thursday, July 31 |
| Exam 3: 2.9, 3.1, 3.2, 3.3 | Thursday, July 31 |
| FINAL EXAM: Comprehensive (including some of chapter 5) | WEDNESDAY, AUGUST 6 |
(NOTE: you should do the problems from 5.1, 5.2, and 5.3 to prepare for the final exam)
Homework List (Linear Algebra and Its Applications, 3rd ed. by David Lay )
NOTE: All homework problems odd unless otherwise indicated.
| SECTION | PROBLEMS |
| 1.1 Systems of Linear Equations | page 11: 1,11,13,15,19,25,31 |
| 1.2 Row Reduction and Echelon Forms | pg.25-26: 1,3,7,9,11,13,17,21 |
| 1.3 Vector Equations | pg. 37-38: 1,3,5,9,11,13,15,21,23 |
| 1.4 The Matrix Equation Ax=b | pg. 47-49: 1,3,5,7,9,11,13,17,19 |
| 1.5 Solution Sets of Linear Systems | pg. 55-57: 1,3,5,7,9,13,15,19 |
| 1.7 Linear Independence | pg. 71-72: 1,3,5,7,11,15,17,21 |
| 1.8 Introduction to Linear Transformation | pg. 79-81: 1,5,7,9,11,13,17,19,25,31,33 |
| 1.9 The Matrix of a Linear Transformation | pg. 90-91: 1,5,9,15,19,21,25,27 |
| 1.10 Linear Models | pg. 99: 1,3 |
| 2.1 Matrix Operations | pg. 116-117: 1,3,5,7,9,17,23,27 |
| 2.2 The Inverse of a Matrix | pg. 126-127: 5,7(a),17,19,29,31 |
| 2.3 Characterizations of Invertible Matrices | pg. 132-133: 1,3,5,11,17,23,29,31,33 |
| 2.5 Matrix Factorization | pg. 149: 1,3,7,9 |
| 2.8 Subspaces of R^n | pg. 173-175: 1,3,5,7,9,17,19,23,25,27,29 |
| 2.9 Dimension and Rank | pg. 180-182: 1,3,5,9,11,17,19 |
| 3.1 Introduction to Determinants | pg. 190-191: 3,9,11,15,19,21,23 |
| 3.2 Properties of Determinants | pg. 199-200: 1,3,5,7,21,23,25,29,31,35,37 |
| 3.3 Cramer's Rule, Volume, Lin. Trans. | pg. 209-210: 1,5,7,19 |
| 5.1 Eigenvectors and Eigenvalues | pg. 308-309: 1,3,5,7,9,11,13,15,25,27 |
| 5.2 The Characteristic Equation | pg. 317-318: 1,3,5,7,9,11,13,15,17,23 |
| 5.3 Diagonalization | pg. 325-326: 1,5,7,11,15 |
| 5.5 Complex Eigenvectors | pg. 341: 1,3,5,11,13 |
| 5.7 Applications to Differential Equations | pg. 361: 1,3,5,7 (for 3,5, and 7, solve and classify the origin only) |
| 5.6 Discrete Dynamical Systems | pg. 352: 1,7(a),9,11,13 (for 9,11, and 13, solve and classify the origin only) |
NOTE: All homework problems odd unless otherwise indicated.