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MIT 18.06 Lecture 5: Transposes, Permutations & Vector Spaces R^n

Professor of Mathematics

47:41·2009·undergraduate level

Marks the transition from row operations to genuine vector-space geometry: symmetric matrices RᵀR, P⁻¹ = Pᵀ for permutation matrices, subspaces of ℝⁿ, and closure under linear combinations.

MIT 18.06 Linear Algebra, Spring 2005

Instructor: Gilbert Strang

View the complete course: http://ocw.mit.edu/18-06S05

YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8

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