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Lecture
Norm, Dot Product, Orthogonality
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Related lectures (31)
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Linear applications and eigenvalues
Covers the representation of linear applications through matrices, diagonalizable matrices, bases, dot product, orthogonality, and orthogonal vectors.
Physics 1: Vectors and Dot Product
Covers the properties of vectors, including commutativity, distributivity, and linearity.
Scalar Product: Algebraic Properties
Explores the algebraic properties of the scalar product and their geometric implications.
Norme, Cauchy-Schwarz Inequality
Covers the definition of norm, distance between vectors, and Cauchy-Schwarz inequality.
Vector Operations and Geometry
Covers mathematical concepts related to vector operations and geometry, including scalar product and vector norms.
Orthogonal Complement and Projection
Covers the concept of orthogonal complement and projection in vector spaces.
Standard Properties: Distance and Norm
Covers the standard properties of distance and norm in vector spaces.
Scalar Product: Geometric Properties
Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.
Hermitian Forms: Definition and Properties
Explores the definition and properties of Hermitian forms in complex vector spaces.
Orthogonal Families and Projections
Explains orthogonal families, bases, and projections in vector spaces.
