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Related lectures (27)

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Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.

Explores orthogonal complement and projection theorems in vector spaces.

Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.

Explains orthogonal families, bases, and projections in vector spaces.

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

Explores orthogonal projection in Euclidean space, emphasizing uniqueness and calculation methods.

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

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.