Lecture

Linear Algebra: Matrices and Linear Applications

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Description

This lecture covers the basics of linear algebra, focusing on matrices, linear applications, and vector spaces. Topics include matrix operations, vectorial lines, rank, trace, determinants, and the concept of linear applications. The lecture also explores the properties of bijective functions and the inverse of linear applications.

Official source

Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Discrete mathematics: Graph theory

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Graph embedding

In topological graph theory, an embedding (also spelled imbedding) of a graph on a surface is a representation of on in which points of are associated with vertices and simple arcs (homeomorphic images of ) are associated with edges in such a way that: the endpoints of the arc associated with an edge are the points associated with the end vertices of no arcs include points associated with other vertices, two arcs never intersect at a point which is interior to either of the arcs. Here a surface is a compact, connected -manifold.

Lattice graph

In graph theory, a lattice graph, mesh graph, or grid graph is a graph whose drawing, embedded in some Euclidean space \mathbb{R}^n, forms a regular tiling. This implies that the group of bijective transformations that send the graph to itself is a lattice in the group-theoretical sense. Typically, no clear distinction is made between such a graph in the more abstract sense of graph theory, and its drawing in space (often the plane or 3D space). This type of graph may more shortly be called just a lattice, mesh, or grid.

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