Linear Algebra Vector Space |Linear Vector Space| Mathematics Optional for UPSC| Linear Algebra-L2

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By Shwetnisha Ma'am, Faculty of Plutus IAS

This video is in continuation of the previous lecture on linear algebra. In this lecture, we have seen the art of writing a proof which includes proving an algebraic structure to be a Vector Space. We have also discussed some basic properties of Vector Space, the definition of a Vector Subspace, and two tests to prove set to be a Vector Subspace. In the end, there is a question on Vector Subspace.

Time Stamp

00:00 Overview of the whole lecture
01:30 An example of a vector space over R with proof
25:08 Properties of a Vector Space
29:40 Subspace of a vector space
43:31 A question on Vector Subspace

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