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Null space and examples

how to find linear transformation T(x, y, z)

how to find linear transformation T(x, y)

Linear Transformation

properties of vector space-3

properties of vector space-2

Basis of vector space

Properties of vector space-1

Linear dependent and independent

Test for subspace

Subspace and example

Vector space definition

Third homomorphism theorem

Second homomorphism theorem

FIRST HOMOMORPHISM THEOREM

Natural homomorphism theorem

A homomorphism is isomorphism if kerf={e}

if K is normal subgroup in G' then f^-1(K') is normal in G

let f be homomorphism and if order of H=n then order of f(H) divides n

Let f be homomorphism then if f(g)=g' then f^-1(g)={xE[ G | f(x)=g'}= gKerf

let f be homomorphism and if order of kerf=n then f is n to 1 mapping

let f be homomorphism and if H is normal then f(H) is normal

let f be homomorphism and if H is Abelian then f(H) is Abelian

f is homomorphism and if H is subgroup then f(H) is subgroup