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Inverse of a Permutation | Abstract Algebra | DR Colleger
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Inverse of a Permutation | Abstract Algebra | @drcolleger
Inverse of a permutation:
Let f be a permutation on S. Since f is a bijective mapping, it admits of a unique inverse f^(-1):S→S and f^(-1) is also bijective. So f^(-1) is a permutation on S and ff^(-1)=f^(-1) f=i. If by f,a_i→a_j, then by f^(-1),a_j→a_i.
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Inverse of a permutation:
Let f be a permutation on S. Since f is a bijective mapping, it admits of a unique inverse f^(-1):S→S and f^(-1) is also bijective. So f^(-1) is a permutation on S and ff^(-1)=f^(-1) f=i. If by f,a_i→a_j, then by f^(-1),a_j→a_i.
My another channel for Competitive Mathematics:
My Some Video Playlist:
Geometry :
Differential Calculus:
Set Theory:
Abstract Algebra
Linear Algebra:
Class 11 Math
Real Analysis
permutation by dr colleger,inverse of a permutation,inverse,mathematics,math,inverse function,permutation,permutations and combinations,bijective mappingpping,inverse mapping,order of permutation,even permutation,odd permutation,cycle,cycle of permutation,transposition,dr colleger,bsc math,cbcs math,cbcs mathematics semester 2,math hons and general,engineering mathematics,product of permutation,bsc math in bengali
#drcolleger
#permutation
#inverseofpermutation
#cbcsmath
#abstractalgebra
#bijectivefunction