Colt Steele

Posted on Friday, 02 April, 2004 - 09:15 pm:

what are the properties that a function 'T: V -> W' must have to be classified as a linear transformation.

David Loeffler

Posted on Friday, 02 April, 2004 - 11:20 pm:

Well,

V

and

W

must be vector spaces (over the same base field), and

T

must preserve the vector space structure, that is

T (λ x + μ y) = λ T (x) + μ T (y)

David