MA 322: Matrix Algebra

Kate Ponto
Fall 2023



Announcements

The textbook for this course will be Linear Algebra and Its Applications, by Lay, Lay and MacDonald. It will be good to have a copy of the textbook, but you do not need the latest edition. Any of the fourth, fifth or sixth editions will be fine.

A draft copy of the Syllabus.

Class Schedule



Date Due Expected Discussion
8/21 1.1: Systems of linear equations
8/23 1.2: Row reduction and echelon forms
8/25 1.3: Vector equation
8/28 1.4: The matrix equation Ax=b
8/30 1.5: Solution sets of linear systems
9/1 1.7: Linear independence
9/6 1.8: Introduction to linear transformations
9/8 1.9: The matrix of a linear transformation
9/11 1:10: Linear models in business, science, and engineering
9/13 2.1: Matrix operations
9/15-9/18 2.2: The inverse of a matrix
9/20 2.3: Characterizations of inverible matrices
9/22 2.8: Subspaces of Rn
9/25 2.9: Dimension and rank
9/27 Review!
9/29 Exam 1
10/2 3.1: Introduction to determinants
10/4 3.2: Properties of determinants
10/6-10/9 3.3: Cramer's rule, volume, and linear transformations
10/11 5.1: Eigenvalues and Eigenvectors
10/13 5.2: The characteristic equation
10/16 5.3: Diagonalization
10/18 5.4: Eigenevectors and linear transformations
10/20 5.5: Complex eigenvalues
10/25 5.6: Discrete Dynamical Systems
10/27 6.1: Inner product, length, and orthogonality
10/30-11/1 6.2: Orthogonal sets
11/3 6.3: Orthogonal projections
11/6 6.4: The Gram-Schmidt process
11/8 Review!
11/10 Exam 2
11/13 6.5: Least-squares problems
11/15 6.6: Machine learning and linear models
11/17 4.1: Vector spaces and subspaces
11/20 4.2: linear transformations
11/27 4.3: Linearly independent sets, bases
11/29 4.4: Coordinate systems
12/1 4.5: The dimension of a vector space
12/4 Review
12/6 Review