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Permutations and Signature
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Related lectures (25)
Multilinear Forms: Alternating and Symmetric
Covers alternating and symmetric multilinear forms in vector spaces over a field.
Linear Independence and Bases in Vector Spaces
Explains linear independence, bases, and dimension in vector spaces, including the importance of the order of vectors in a basis.
Definition of Sobolew Spaces
Explains the definition of Sobolew spaces and their main properties, focusing on weak denivelre.
Orthogonality and Subspace Relations
Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.
Tensor Products and Symmetric Power
Covers tensor products, symmetric power, and exterior power of vector spaces, including properties and applications.
Linear Algebra Basics
Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.
Orthogonality and Least Squares Method
Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.
Analytical Study of Space
Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Vectors: Fundamentals
Covers the basic concepts related to vectors, including their definition, operations, and properties, as well as applications through examples and the Varignon's theorem.
Properties of Weak Derivatives
Explores weak derivatives in Sobolev spaces, discussing their properties and uniqueness.
Principles of Quantum Physics
Covers the principles of quantum physics, focusing on tensor product spaces and entangled vectors.
Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Vector Spaces: Properties and Operations
Covers the properties and operations of vector spaces, including addition and scalar multiplication.
Advanced Physics I: Definitions and Motion
Covers advanced physics topics such as definitions, rectilinear motion, vectors, and motion in three dimensions.
Vector Algebra: Scalar Product
Explores the scalar product of vectors, including properties and calculation methods.
Orthogonal Projections: Rectors and Norms
Covers orthogonal projections, rectors, norms, and geometric observations in vector spaces.
Signal Representations
Covers the representation of signals in vector spaces and inner product spaces, including the Projection Theorem.
Mechanics: Introduction and Calculus
Introduces mechanics, differential and vector calculus, and historical perspectives from Aristotle to Newton.
Orthogonality and Least Squares
Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.
Physics 1: Vectors and Dot Product
Covers the properties of vectors, including commutativity, distributivity, and linearity.
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