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?
"Mapping a vector to a vector preserving operations" refers to the process of transforming one vector into another while preserving certain operations, such as addition, subtraction, and scalar multiplication.
Preserving operations allows us to maintain the original relationships between vectors, ensuring that the resulting vector is still representative of the original data. This is especially important in applications such as linear transformations and data analysis.
The most common operations that are preserved in vector mapping include addition, subtraction, and scalar multiplication. Other common operations include dot product, cross product, and vector length.
A regular vector transformation may involve changing the size, direction, or orientation of a vector. In contrast, mapping a vector to a vector preserving operations ensures that the resulting vector maintains the same relationships with other vectors as the original vector did.
Mapping a vector to a vector preserving operations has numerous applications in mathematics, physics, and computer science. It is commonly used in linear algebra, data analysis, and computer graphics to transform and analyze data while preserving important relationships between vectors.