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In this video, we explain Vector Subspace in Linear Algebra with clear concepts, solved examples, and easy counter methods to identify whether a subset is a subspace or not. This video covers the complete concept of Vector Subspace in Linear Algebra. 📌 Topics Covered: • What is a Vector Subspace? • Conditions for a subset to be a subspace • Solved examples of vector subspace • How to prove whether a subset is a subspace or not • Quick counter methods to reject a subset as a subspace • Zero vector, closure under addition and scalar multiplication explained This lecture is useful for: ✔ BSc / BTech / Engineering students ✔ Linear Algebra beginners ✔ Exam preparation (GATE, NET, university exams) 📚 Watch till the end for shortcut tricks and conceptual clarity. #LinearAlgebra #VectorSubspace #SubspaceTest #Mathematics vector subspace linear algebra subspace in linear algebra vector space subspace subspace test vector subspace examples linear algebra examples prove subspace subset of vector space btech linear algebra bsc mathematics gate linear algebra engineering mathematics 00:00 Introduction 01:10 What is Vector Subspace? 03:40 Conditions for Subspace 06:15 Solved Example 1 09:30 Solved Example 2 12:10 Counter Method – Not a Subspace 15:00 Common Mistakes 17:00 Final Tips