gt171-permutation-matrices

# Interactive video lesson plan for: GT17.1. Permutation Matrices

#### Activity overview:

Abstract Algebra: (Linear Algebra Required) The symmetric group S_n is realized as a matrix group using permutation matrices. That is, S_n is shown to the isomorphic to a subgroup of O(n), the group of nxn real orthogonal matrices. Applying Cayley's Theorem, we show that every finite group is isomorphic to a subgroup of O(n).

U.Reddit course materials available at http://ureddit.com/class/23794/intro-to-group-theory Master list at http://mathdoctorbob.org/UReddit.html

Tagged under: Mathematics,abstract,algebra,group,theory,symmetric,permutation,bijection,isomorphism,invertible,orthogonal,matrix,determinant,alternating,cycle,trace,eigenvalue,root,unity

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