Orthogonality and Subspaces

Related lectures (28)

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Covers norm, scalar product, and perpendicularity in R^n, including the theorem of Pythagoras and orthogonal complements.

Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

Explores the best quadratic approximation in Euclidean spaces, emphasizing least squares.

Introduces orthogonal bases, projection onto subspaces, and the Gram-Schmidt process in linear algebra.

Introduces orthogonal vectors, scalar product, Euclidean norm, Pythagorean theorem, and unit vectors.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

Explores orthogonality, scalar product, and orthonormal bases in vector spaces.

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explores orthogonal complement and projection theorems in vector spaces.