The discussion revolves around the concept of mapping vectors to vectors while preserving operations such as addition and multiplication. Participants explore the nature of these mappings, particularly in the context of linear mappings, and seek clarification on the implications of such mappings in an abstract sense.
Participants do not reach a consensus, as there are differing interpretations of the original question and the nature of vector mappings. Some express confusion while others attempt to clarify the concepts involved.
The discussion highlights potential misunderstandings regarding the basic properties of linear mappings and the implications of mapping vectors in abstract contexts. There is a lack of clarity on the specific definitions and assumptions participants are operating under.
I have no idea what your question is! There are many ways to "map a vector to a vector", some linear, others not. Are you specifically talking about linear mappings? What do you mean by "pls dun use f(x+y)= f(x)+ f(y)"? I can interpret that as "please don't use f(x+y)= f(x)+ f(y)" but what's the point in talking about linear mappings if you don't use their basic properties? And, finally, what in the world do you mean by "what will happen"?RyozKidz said:can i know how to map a vector to a vector by preserving the operation if addition and mutiplication ..pls dun use f(x+y)=f(x)+f(y)..
i wan to know how to use in abstract ...
if i do the mapping wat will happens?