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Orthogonal
Complement
Orthogonality and Independence
Inner Product and Orthogonality
Gram-Schmidt Orthogonalization
Dot Product
Orthogonality Principle
Dimension
Eigenvalue and Eigenvector
Pythagorean Theorem
and Orthogonality
Orthogonality
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Orthogonal
Vectors and Subspaces
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Orthogonality in Linear Algebra
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1:17:20
YouTube
Read Maths and Physics
General properties of Hilbert spaces, based on "Les maths en tête, Analyse", X. Gourdon
We review the theorem of projection on a closed convex subset and its consequences, namely the decomposition of H as a direct sum of two orthogonal complements, the Riesz representation and the notion of orthonormal basis. We follow the book "Les maths en tête, Analyse" by X. Gourdon. Link for the slides: Handout version https://github.com ...
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