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Related lectures (30)
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Orthogonality and Least Squares Method
Covers orthogonal vectors, unit vectors, and the Pythagorean theorem in R^m.
Vector Geometry: Basics and Applications
Explores vector geometry basics, historical perspectives, and practical applications.
Scalar Product: Geometric Properties
Covers the definition and properties of the scalar product, including geometric interpretations and algebraic properties.
Elementary Operations in Geometry
Explores elementary operations in geometry, including addition, subtraction, multiplication, and division of segments and angles.
Finding Orthogonal/Orthonormal Base: First Step
Introduces the first step in finding an orthogonal/orthonormal base in a vector space.
Orthogonal/Orthonormal Bases and Polynomials
Explores orthogonal and orthonormal bases, Gram-Schmidt process, and orthogonal polynomials in physics.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.
Matrices and Orthogonal Transformations
Explores orthogonal matrices and transformations, emphasizing preservation of norms and angles.
Matrix Operations and Orthogonality
Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.
Vector Spaces and Scalar Products
Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.