This course covers eigenvalue inequalities, including theorems such as Courant Fischer Min Max, Weyl's theorem, and Gershgorin Circle Theorem. Students will learn about Eigenvalue Inequality for a Correlation Matrix and Brauer's oval of Cassini. The teaching method involves a series of brief lectures on symmetric matrices and eigenvalue inequalities. This course is intended for individuals interested in advanced topics in linear algebra and matrix theory.
Overview
Syllabus
Symmetric Matrix. Brief Series on Eigenvalue Inequalities (part 1).
Symmetric Matrix. Brief Series on Eigenvalue Inequalities (part 2).
Theorems Courant Fischer Min Max. Weyl's. Brief Series on Eigenvalue Inequalities (part 3).
Gershgorin Circle Theorem. Brief Series on Eigenvalue Inequalities (part 4).
Brauer's oval of Cassini. Brief Series on Eigenvalue Inequalities (part 5).
Eigenvalue Inequality for a Correlation Matrix.
Taught by
statisticsmatt
