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Knowledge in Linear algebra
Factor Rings
Definition of factor rings with the mist important theorem that R is a ring and A is a subring of R then the set {R+A } is a subring of R and examples of factor rings and unity of factor ring is 1+A
Ishant Goel
Prime and Maximal ideal
Definition of prime and Maximal ideal id actually a proper ideal of any ring R with related problems and examples theorem R/A is an ID iff A is prime ideal and there are many important question for exam perspective
Ring Homomorphisms
The concept of ring Homomorphisms i.e. X(a+b)= X(a)+ X(b) and X(ab)=X(a) X(b) and to prove that given examples are ring Homomorphisms.... Even there is a remark that why 2Z is group isomorphic to Z but not ring homomorphic
Properties
These are the properties of ring Homomorphisms i.e. X(nr) =nX(r) and if A is an ideal of R then X(a) is an ideal of S, etc and other proofs of properties too and one more important result is that if X is an Homomorphism then it's inverse too
Kernels
This lecture actually contains the most important theorems of the linear algebra. Some of the theorem are kernels are ideals, First, second and third isomorphism theorem and finally ideals are kernels
Corollaries
These are the notes of some important corollaries of theorems like if R is a ring with unity then char R =0 i.e characteristic of R is zero, a field F contains a subring isomorphic to ID D and some related problems and examples
Linear Algebra SEM- II (2017)
This pdf contains the question paper of 2017 semester 2 first year Generic Elective Mathematics (Linear Algebra) conducted by Delhi University.
Vaibhav Singh Bhandari
Stephen_Francis_Andrilli Linear Algebra
This PDF file contains the scanned copy of Linear Algebra Generic Elective subject for 1st year students of Delhi University.
Linear Algebra Matrices
In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns. This the Introduction and solved example on matrices.
PRAVIN SURYAWANSHI