MTH 314 - 001: Matrix Algebra I (Fall 2016)

You will find below the syllabus, course schedule, homework assignments and supplementary reading. Also below is a link to the Piazza forum, which is a question-and-answer platform created for our class, where we can discuss solutions to class assignments.

[Syllabus]     [Piazza]

Assigned problems for homework refer to the course textbook:
Introduction to Linear Algebra, Fourth Edition by Gilbert Strang, Wellesley-Cambridge Press, ISBN: 978-0980232714

Course Schedule and Homework Assignments

Lecture	Date	Topic	Homework	Comments
1	8/31	#1.1 - Vectors, Linear combinations	1, 4, 5, 10, 13, 26, 28	Read the syllabus, [Notes]
2	9/2	#1.2 - Lengths, Dot Products	1, 3, 4, 6, 8, 11-14, 27, 29	[Notes]
	9/5			Labor Day: No class
3	9/7	#1.3 - Matrices, Inverse	3, 4, 6, 8	[Notes] [Quiz 1] [Solutions]
4	9/9	#2.1 - Linear Equations	5, 6, 13, 15, 16, 17, 26	[Notes]
5	9/12	#2.2 - Elimination	1-5, 8, 9, 11, 12, 14, 19	[Notes]
6	9/14	#2.3 - Elimination using Matrices	1, 6, 12, 13, 17, 25, 27	[Notes]
7	9/16	#2.3 - Elimination using Matrices (contd...)		[Notes] [Quiz 2] [Solutions]
8	9/19	#2.4 - Matrix Operations	1, 2, 6-9, 13, 18, 24, 26, 29, 30	Read #2.4 from text before class [Notes]
9	9/21	#2.5 - Inverse Matrices	1, 3, 4, 7, 13, 22-25, 27, 29	Read #2.5 from text before class [Notes]
10	9/23	#2.6 - LU Factorization	1, 3, 7-8, 11-13, 15-16, 19	Read #2.6 from text before class [Notes] [Quiz 3] [Solutions]
11	9/26	#2.7 - Transposes and Permutations	1, 2, 7, 11, 12, 20, 22, 24, 29	Read #2.7 from text before class; Last day to drop with refund (8:00pm) [Notes]
12	9/28	#3.1 - Vector Spaces	2-4, 8, 10, 11, 15, 17, 19, 22, 23, 25	Read #3.1 from text before class [Notes] [Quiz 4] [Solutions]
13	9/30	#3.1 Vector Spaces contd...		[Notes]
14	10/3	#3.2 - Null Space of A	1-4, 9, 12, 15, 16, 18, 24-26, 30, 32	Read #3.2 from text before class [Notes]
R1	10/5	Midterm Exam I Review		Bring quiz, HW and review questions [Review Topics] [Review Problems]
M1	10/7	Midterm Exam I		[Midterm I] [Solutions]
15	10/10	#3.3 - Rank of a Matrix	1, 3, 7, 8, 10, 12-14, 19, 25	Read #3.3 from text before class [Notes]
16	10/12	#3.4 - Complete Solution to Ax=b	1-4, 6, 8, 10, 13, 16, 18, 30	Read #3.4 from text before class [Notes] [Quiz 5] [Solutions]
17	10/14	#3.5 Independence, Basis and Dimension	1, 2, 3, 6, 9, 13, 15-18	Read #3.5 from text before class [Notes]
18	10/17	#3.6 Dimensions of the Four Subspaces	1-3, 6, 11, 18, 24, 25	Read #3.6 from text before class [Notes]
19	10/19	Dimensions of the Four Subspaces (contd...); Chapter 3 Problem Set		Last day to withdraw with no grade reported [Notes]
20	10/21	#4.1 Orthogonality of the Four Subspaces	3, 5, 6, 10, 11, 14, 15, 17, 19	Read #4.1 from text before class [Notes] [Quiz 6] [Solutions]
21	10/24	#4.2 Projections	1, 3, 5, 8-13, 17, 18, 24, 27	Read #4.2 from text before class [Notes]
22	10/26	#4.3 Least Squares Approximations	1-5, 9, 10, 12	Read #4.3 from text before class [Notes] [Quiz 7] [Solutions]
23	10/28	#4.4 Gram-Schmidt	1-3, 6, 10, 12, 14, 18	Read #4.4 from text before class [Notes]
24	10/31	#4.4 Gram-Schmidt (contd...)		[Notes] [Quiz 8] [Solutions]
25	11/2	Review Problems - Chapter 4		[Notes]
26	11/4	#5.1 Determinant Properties	1, 3, 4, 7, 8, 12, 13, 19, 29	Read #5.1 from text before class [Notes]
27	11/7	#5.2 Permutations and Cofactors	1, 5, 11, 28, 29	Read #5.2 from text before class [Notes] [Quiz 9] [Solutions]
28	11/9	#5.3 Cramer's Rule, Inverses	1, 2, 6, 9, 16, 17	Read #5.3 from text before class [Notes]
29	11/11	#6.1 Intro to Eigenvalues	2, 3, 9, 21, 26	Read #6.1 from text before class [Notes]
30	11/14	#6.1 Intro to Eigenvalues (contd...)		[Quiz 10] [Solutions]
R2	11/16	Midterm Exam II Review		Bring quiz, HW and review questions [Review Problems] [Review Topics]
M2	11/18	Midterm Exam II		[Midterm II] [Solutions]
31	11/21	#6.2 Diagonalizing a Matrix	1, 2, 4, 6, 11, 12, 15, 20, 21	Read #6.2 from text before class [Notes]
32	11/23	Applications		[Notes] [Matlab links]
	11/25			Thanksgiving Break - No class
33	11/28	#6.3 Applications to Differential Equations	1, 4, 8, 18	Read #6.3 from text before class [Quiz 11] [Solutions] [Notes]
34	11/30	#6.4 Symmetric Matrices	2, 3, 5, 9, 16, 18	Read #6.4 from text before class [Notes]
35	12/2	#6.5 Positive Definite Matrices	1, 2, 7, 11	Read #6.5 from text before class [Quiz 12] [Solutions] [Notes]
36	12/5	#6.6 Similar Matrices		[Quiz 12] [Solutions]
R	12/7	Final Exam Review - I		Bring quiz, HW and review questions [Review Problems 1]
R	12/9	Final Exam Review - II		Bring quiz, HW and review questions [Review Problems 2]
E	12/16 (Friday)	Final Exam		Wells Hall, A 316, 10:00am-12:00pm