Elementary Linear Algebra, Spring 2014

Section 02


Lectures: TF 9:50-11:10 AM
Location: Murray Hall 212 College Ave
Sakai: Click Here

Instructor: Bud Coulson
Email: bud at math.rutgers.edu
Office Hours: MW 10:00-11:00 AM, Hill 521 Busch

Textbook: Spence, Insel, and Friedberg  Elementary Linear Algebra: A Matrix Approach, 2nd Edition, Prentice-Hall (ISBN 978-0-13-187141-0)

Calculators: No calculator is required for this course. A scientific calculator may be used for quizzes and exams.

General Course Information [An information page by math department on textbooks, syllabus, review materials etc.]

Academic Integrity Policy

Attendance Policy

Quizzes

Homework

Exams and Grading

Course Plan

Lecture
 Section(s)
 Topics
 Homework Problems
Tuesday, January 21st
 1.1, 1.2 Introduction: Matrices, Vectors, and Linear Combinations
 1.1:  1, 3, 5, 9, 17, 19, 23, 25, 37-56, 71, 75, 79, 81, 82
1.2:  1, 3, 9, 15, 17, 19, 29, 31, 35, 37, 39, 45-63, 67, 68, 75, 76, 77, 78
Friday, January 24th
 1.3 Systems of Linear Equations 1.3:  1, 3, 7, 9, 11, 23, 25, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57-76, 81
Tuesday, January 28th
 1.4 Gaussian Elimination 1.4:  1, 3, 5, 7, 11, 13, 17, 19, 23, 27, 35, 37, 43, 53-72, 74-78, 81-84, 87-91
Friday, January 31st
 1.6
 Span of a Set of Vectors
 1.6:  1, 3, 17, 19, 21, 23, 25, 27, 29, 31, 33, 39, 43, 45-64, 70, 72
Tuesday, February 4th
 1.7
 Linear Dependence and Independence
 1.7:  1, 5, 13, 15, 23, 25, 29, 33, 39, 41, 51, 53, 57, 63-82, 87, 89
Friday, February 7th
 2.1
 Matrix Multiplication
 2.1:  5, 7, 9, 11, 13, 15, 17, 19, 22, 23, 25, 27, 29, 31, 33-50
Tuesday, February 11th
 2.3, Appendix E
 Invertibility and Elementary Matrices, Uniqueness of Reduced Row Echelon Form
 2.3:  1, 3, 9, 11, 13, 17, 19, 23, 25, 29, 31, 33-52, 54, 59, 61, 67, 69, 71, 83
Friday, February 14th
 2.4
 The Inverse of a Matrix
 2.4:  1, 3, 7, 9, 19, 27, 29, 35-54, 64
Tuesday, February 18th
 2.5
 Partitioned Matrices and Block Multiplication
 2.5:  1, 3, 9
Friday, February 21st
 2.6
 The LU Decomposition of a Matrix
 2.6:  1, 3, 5, 9, 11, 13, 33-41, 42, 43, 44, 45, 46
Ch 2 Review:  22, 31, 33, 35, 36, 39, 40, 41, 42, 44
Tuesday, February 25th
 3.1
 Cofactor Expansion
 3.1:  1, 9, 11, 13, 14, 15, 21, 23, 27, 29, 31, 37, 43, 45-63
Friday, February 28th
 Exam 1
 In the lecture hall
Tuesday, March 4th
 3.2
 Properties of Determinants
 3.2:  5, 6, 7, 8, 11, 13, 17, 21, 27, 33, 39-58, 59, 63, 67, 69-75
Friday, March 7th
 4.1
 Subspaces
 4.1:  1, 3, 5, 9, 11, 13, 19, 21, 27, 29, 33, 43-51, 57-62, 67, 69, 72, 73, 74, 78, 81, 83, 85, 89, 93
Tuesday, March 11th
 4.2
 Basis and Dimension
 4.2:  1, 3, 5, 7, 17, 19, 21, 25, 27, 33-50, 53, 54, 59, 63, 65
Friday, March 14th
 4.3
 Column Space and Null Space
 4.3:  1, 3, 5, 7, 9, 11, 15, 17, 19, 25, 27, 41-57, 59, 60, 63, 65, 69, 73-78, 83
Tuesday, March 25th
 5.1
 Eigenvalues and Eigenvectors
 5.1:  1, 3, 7, 9, 13, 17, 23, 41-46, 55-60, 63, 64, 66, 67, 68, 69, 72, 73, 74
Friday, March 28th
 5.2
 Characteristic Polynomial
 5.2:  1, 5, 9, 11, 13, 15, 17, 19, 21, 41, 53-72, 77, 79, 81, 85, 86
Tuesday, April 1st
 5.3
 Diagonalization of a Matrix
 5.3:  1, 3, 5, 7, 11, 15, 17, 19, 29-48, 49, 51 , 55, 57, 61, 63, 65, 73, 77, 78, 81, 82, 83, 85
Friday, April 4th
 5.3
 Applications of Diagonalization
 5.5:  None
Tuesday, April 8th
 6.1
 Geometry of Vectors
 6.1:  3, 5, 7, 9, 11, 13, 15, 17, 25, 29, 33, 37, 43, 49, 51, 53, 61-80
Friday, April 11th
 Exam 2
 In the lecture hall
Tuesday, April 15th
 6.2
 Orthogonality
 6.2:  1, 3, 7, 9, 13, 17, 21, 25, 29, 33, 37, 41-52
Friday, April 18th
 6.3
 Orthogonal Projections
 6.3:  1, 5, 9, 11, 17, 19, 33-56, 59, 61, 67, 69, 71, 73, 75
Tuesday, April 22nd
 6.4
 Least Squares Operators and Orthogonal Projection Matrices
 6.4:  1, 5, 17, 21, 28-32
Friday, April 25th
 6.5
 Orthogonal Matrices and Operators
 6.5:  6, 7, 9, 11, 17, 21-29
Tuesday, April 29th
 6.6
 Symmetric Matrices
 6.6:  3, 5, 13, 15, 17, 19, 21-40
Friday, May 2nd
 Course Review