Analytical Study of SpaceExplores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.
Parts and Vectors in CoordinatesCovers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Reducing an ApplicationCovers the reduction of an application, finding reduced forms of matrices, diagonalizability, and polynomial roots.
Projections and SymmetriesExplores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.
Linear Algebra: Canonical BasisExplores the canonical basis in linear algebra, focusing on matrix representation, diagonalizability, and characteristic polynomials.
Linear Algebra: DiagonalizationExplores the diagonalization of matrices and the conditions for exact diagonalization, with examples demonstrating the process.
Geometric Rotations in 2DCovers the geometric definition of rotations in 2D and analytical expressions for rotations using matrices.
Analytical Study of SpaceExplores the analytical study of space, covering relative positions, angles, and properties of lines and planes.
