# Answer to Question #32978 in Linear Algebra for christ

Question #32978

Let U and V be vector spaces over a field F,a function

T:U→V

such that

T(u1+u2)=T(u1)+T(u2)

, for

u1,u2∈U

and

T(αu)=αT(u)

for

α∈F

and

u∈U

is called a ………….

vector space

transformation

linear transformation

nullity

T:U→V

such that

T(u1+u2)=T(u1)+T(u2)

, for

u1,u2∈U

and

T(αu)=αT(u)

for

α∈F

and

u∈U

is called a ………….

vector space

transformation

linear transformation

nullity

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