General Conics and Homogeneous Coordinates

Related lectures (27)

Page 2 of 3

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Explores spectral and singular value decompositions of matrices.

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Covers the process of diagonalizing matrices, focusing on symmetric matrices and the spectral theorem.

Explores homogeneous coordinates, emphasizing ellipse and hyperbola properties.

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

Covers the concepts of the hyperbola and ellipse in analytical geometry.

Explores the Cholesky factorization method for symmetric positive definite matrices.

Covers the decomposition of matrices into triangular blocks and spectral decomposition.

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.