Lecture

Linear Algebra: Matrices and Linear Applications

Related lectures (258)
Projections and Symmetries
Explores projections on lines and symmetries in 2D space, emphasizing fixed points and symmetric matrices.
Vectors: Definitions and Operations
Introduces vector definitions, displacement, addition, and applications in geometry.
Reducing an Application
Covers the reduction of an application, finding reduced forms of matrices, diagonalizability, and polynomial roots.
Geometry of the Triangle
Covers the geometry of the triangle, including inequalities, heights, and centers.
Linear Algebra: Applications and Matrices
Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.
Rotations (2D): Definitions and Analytical Expressions
Covers the concept of 2D rotations and their analytical expressions.
Parts and Vectors in Coordinates
Covers landmarks, coordinate systems, frames, and terminology in coordinates, emphasizing geometric angles and orthogonal vectors.
Matrix Representations of Linear Applications
Covers matrix representations of linear applications in R³ and the invariance of rank.
Stochastic Block Model: Community Detection
Covers the Stochastic Block Model for community detection.
Characteristic Polynomials and Similar Matrices
Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

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