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Lecture
General Conics and Motor Blocks
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Related lectures (29)
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Homogeneous Coordinates and Conics
Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.
General Conics: Symmetry and Elimination
Covers the concepts of mixed product, cross product, homo coordinates, and general conics.
Homogeneous Coordinates and Curves
Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.
Conic Sections: Ellipse and Hyperbola
Explores properties of conic sections, center, equations, and coordinate transformations.
Conic Sections: Basics and Properties
Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.
General Conics: Ellipse and Hyperbola
Explores general conics, emphasizing ellipses and hyperbolas, discussing passage matrix, cross product, and eigenvalues.
Conics in the Plane: Uniform Description of 3 Conics
Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.
Analytical Geometry: Conic Sections
Covers the properties and equations of conic sections.
Matrix Diagonalization: Spectral Theorem
Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.
Spectral Decomposition
Explores spectral and singular value decompositions of matrices.
Conic Sections: Definitions and Equations
Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.
Ellipse and Circle: Geometric Analysis
Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.
Cholesky Factorization: Theory and Algorithm
Explores the Cholesky factorization method for symmetric positive definite matrices.
Orthogonal Projections and Reflections
Covers the analytical expression of orthogonal projections and reflections in 2D space.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
Geometry: Ellipse and Hyperbola
Explores the properties of ellipses, hyperbolas, circles, and products in geometry.
Linear Algebra Review
Covers the basics of linear algebra, including matrix operations and singular value decomposition.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.
Matrix Decomposition: Triangular and Spectral
Covers the decomposition of matrices into triangular blocks and spectral decomposition.
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