Question

Linear Algebra help please

Answer 1

Define that T : U → V is a linear map from the vector space U to the vector space V.

Answer 2

@joemath314159

Answer 3

whats the question?

Answer 4

that is all the question says... i don't know if there is some specific way you are supposed to define a linear map, or what. Is there a way to write or define two vector spaces as a linear map besides what is in the question?

Answer 5

um, does it say anything about V or U?

Answer 6

are you just asking for the definition of a linear map?

Answer 7

no it doesn't... the question (b) is just as vague... it asked "how are nullspace and range of a linear map defined"

Answer 8

maybe that is what it is asking, I am not sure... is there a way to define a linear map using U and V

Answer 9

U and V must be linear spaces. A linear map is only a map that preserves the linearity between spaces. You can define a linear map using U and V in the next way: Define the linear function that maps basis into basis. Maybe this is related with your question.