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

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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.



Answered Same DayDec 31, 2021

Answer To: I need to explain the general relationship between abstractalgebra and linear algebra. The paper...

Robert answered on Dec 31 2021
111 Votes
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, systems of linear equations etc…
A group is a non – empty set G together with a binary operation * on G such that the...
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