1 / 21

Linear Operator

Linear Operators. A linear operator T is an operator such that the domain D(T) of T is a vector space and the range R(T) lies in a vector space over the same field,for all x, y ? D(T) and scalars a,T(x y) = Tx TyT(ax)=aTxT: D(T) ? R(T)T(ax

catherine
Download Presentation

Linear Operator

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


    1. Linear Operator Sung Pil Choi

    2. Linear Operators A linear operator T is an operator such that the domain D(T) of T is a vector space and the range R(T) lies in a vector space over the same field, for all x, y ? D(T) and scalars a, T(x+y) = Tx + Ty T(ax)=aTx T: D(T) ? R(T) T(ax+ßy)=aTx+ßTy Null space of T is the set of all x ? D(T) such that Tx=0

    3. Linear Operators

More Related