Lecture 2A: Basis and Span of a Vector Space | New Linear Algebra Series for GATE DA

Linear Algebra lecture covering basis, span, linear independence, minimal spanning sets, maximal independent sets, and basis-related true/false problems.

00:00:00 Introduction to Basis and Span
00:00:24 Formal Definition of a Basis
00:01:43 Single Vector and Basis in R²
00:03:01 Three Vectors and Basis in R²
00:05:03 Basis as a Minimal Set
00:06:29 Formal Definition of Span
00:08:41 Basis Check in R²
00:09:37 Different Bases and Same Size
00:11:22 Number of Bases in R²
00:15:18 Independent Vectors vs Basis Size
00:22:02 Minimal Spanning and Maximal Independent Set
00:26:16 Basis for Subspace in R⁴
00:29:12 Subset of a Spanning Set
00:30:35 Subset of a Basis
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