Lectures related to Untitled | EPFL Graph Search

Explores the composition of applications in mathematics and the importance of understanding their properties.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Introduces Cartesian product and induction for proofs using integers and sets.

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

Introduces orthogonality between vectors, angles, and orthogonal complement properties in vector spaces.

Covers the proof and identification of isomorphisms in the Seifert van Kampen theorem.

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

Covers the basics of linear mapping and coordinate systems.

Covers the definitions and properties of matrices, including matrix operations and determinants.

Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.

Covers the definition of 3x3 matrices, determinants, matrix operations, and invertibility.

Explores matrix representations of linear maps and their invariance, using examples and special cases.

Explores matrix similarity, eigenvalues, and diagonalization in linear algebra.

Covers calculations and algorithms for determining the determinant of a matrix, including permuting rows and multiplying by coefficients.

Covers matrix operations and reduction to echelon form with practical examples.