I need to explain the general relationship between abstract
algebra and linear algebra. The paper...

Question

I need to explain the general relationship between abstract
algebra and linear algebra. The paper must includehow it is possible to considerably shorten the
list of properties that define a vector space by using definitions from
abstract algebra.

Robert · Accepted Answer

Abstract algebra, as the name suggests, is the study of various abstract objects such as, groups, 
rings, fields, modules, vector spaces etc… whereas, linear algebra is the study of vectors, matrices, 
vector spaces (either finite or count – ably infinite) as well as linear mappings between such spaces, 
linear transformations,

I need to explain the general relationship between abstract algebra and linear algebra. The paper must includehow it is possible to considerably shorten the list of properties that define a vector...

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