MATH 415
Advanced Matrix Analysis Fall 2023
Division III Quantitative/Formal Reasoning

Class Details

This course will start with a review of various attributes of matrices (determinants, rank, etc), as well as eigenvalues, eigenvectors, and their properties. Then we will move on to study special matrices and their decompositions, along with similarities, and Jordan canonical forms. In the third segment, we will define norms on vectors and matrices and study their analytic properties. Finally, we will discuss another important class of matrices – positive definite and semidefinite matrices. If time permits, we will also cover positive and negative matrices and their properties.
The Class: Format: lecture
Limit: 25
Expected: 10
Class#: 1949
Grading: yes pass/fail option, yes fifth course option
Requirements/Evaluation: Homework assignments and exams.
Prerequisites: Math 350/351 or permission of instructor
Enrollment Preferences: Mathematics and Statistics Majors, Seniors
Distributions: Division III Quantitative/Formal Reasoning
QFR Notes: This is an advanced mathematics class that covers complex properties of matrices and some of their applications.

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