Table of Contents | - Group, Order of Element of a Group, Cyclic Group,Subgroups, Coset, Lagrange’s Theorem, Normal Subgroup, Quotient Groups, homomorphism of groups, Permutation Group, Conjugate Elements, Ring, Characteristic of a Ring, Subrings,
Ideals, Prime Ideal, Maximal Ideal, Quotient Ring, ring homomorphisms, polynomial rings, Vector Space, Subspace, Linear Span, Linear Dependence, Linear Independence, Basis , Dimension, Direct Sum, Direct , Linear Transformation, Rank a Linear Transformation, Nullity of a Linear Transformation, Linear Transformations and Matrices, Change of Basis, Eigen values. Eigen vectors, Characteristic Roots, Characteristic Vectors, Diagonalization, Cayley-Hamilton Theorem, Minimal Polynomial
|