MATH 2210Q – Linear Algebra – Spring 2016

This page contains specific information for Section 006 and 010 of MATH 2210Q – Linear Algebra. Below you can find the formal course description, information about the instructor, enrollment, the book, homework and quizzes, exams, and policies.

Course Description: MATH 2210Q, Linear Algebra

Description: Systems of equations, matrices, determinants, linear transformations on vector spaces, characteristic values and vectors, from a computational point of view. The course is an introduction to the techniques of linear algebra with elementary applications.

Prerequisites: MATH 1132, 1152, or 2142. Recommended Preparation: a grade of C- or better in MATH 1132. Not open for credit to students who have passed MATH 3210


The enrollment for MATH 2210Q is handled via a waitlist, so you need to go into and write your name in the list for the section you want.

About the Book and Other Resources:

Book for the course

The book for this course is “Linear Algebra & Its Applications“, 4th Edition, David C. Lay.

  Other resources:







Homework, Quizzes:

Homework will be assigned and collected every week. Homework will be graded for completion. There will be in-class quizzes every other week, and the problems in the quizzes will be heavily based on the homework problems.


The homework problems are listed in the outline below.

Homework 1.1/1.2 Video

Homework 1.3/1.4/1.5 Video



Solutions to quizzes will be posted to here.

Exams and Class Grade:

Final Exam Practice  – Solutions

Test 2 Practice – Solutions

Test 1 Practice Questions – Solutions

Old Test 1

There will be two in-class midterms and a final exam. Each midterm will cover about 6 weeks of material, while the final will be cumulative. The total grade will be computed as follows:

Homework 100
Quizzes 50
Exam 1: (Week 6 – Friday, February 26th) In class 100
Exam 2: (Week 12 – Friday, April 8th) In class 125
Final Exam: TBA 175

Course Outline:

Week Topics Exercises
1 1.1 Systems of Linear Equations. pages 10-11, #1,8,13,14,17,20
1.2 Row Reduction and Echelon Forms. pages 21-23, #1,3,7,12,14,20
2 1.3 Vector Equations. pages 32-34, #1,3,6,9,13,14,15,21
1.4 The Matrix Equation Ax=b. pages 40-42: #1,4,7,9,13,19,22
1.5 Solutions Sets of Linear Systems. pages 47-49: #2,5,11
3 1.7 Linear Independence. pages 60-62, #1,5,8,9,15,20,22
1.8 Matrix Operations. pages 68-70, #1,8,9,13
1.9 The Matrix of a Linear Transformation. pages 78-79, #1,2,15,20
4 2.1 Matrix Operations pages 100-102: #2,5,7,10
2.2 Inverse of a Matrix pages 109-111: #3,6,29,31,32,33
2.3 Characterizations of Invertible matrices
5 2.5 Matrix Factorizations
3.1 Introduction to Determinants pages 167-169: #4,11,15,16,37
3.2 Properties of Determinants pages 175-176: #4,7,8,21,22
6 Review and Exam I
7 4.1 Vector Spaces and Subspaces pages 195-198: #1,6,7,8,9,11
4.2 Null Spaces, Columns Spaces, and Linear Transformations pages 205-207: #3,11,12,14,17,21,23
4.3 Linearly Independent Sets; Bases pages 213-215: #3, 4, 9, 13, 15, 16, 19, 23
8 4.4 Coordinate Systems pages 222-224: # 1, 3, 5, 6, 9, 10, 13, 14
4.5 Dimension of a Vector Space pages 229-231: #1, 4, 9, 11, 17, 18
4.6 Rank pages 236-238: #1, 2, 5, 6
10 4.7 Change of Basis
5.1 Eigenvalues and Eigenvectors pages 271-273: # 2, 4, 13, 15, 16, 17
5.2 The Characteristic Equation pages 279-281: # 2, 4, 9, 10, 12
11 5.3 Diagonalization pages 286-287: # 7, 8, 9, 11
5.4 Eigenvectors and Linear Transformations
12 Review and Exam II
13 6.1 Inner Product, Length and Orthogonality pages 336-338: #5, 10, 15, 17
6.2 Orthogonal Sets pages 344-346: #1, 2, 9, 11, 14
14 6.3 Orthogonal Projections pages 352-353: #3, 4, 11, 12, 13
6.4 Gram-Schmidt Process pages 358-359: #5, 6, 9, 10
6.5 Least Squares Problems pages 366-367: #5, 10, 12, 13, 14
15 Other Topics/Review
Final Exam

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