Linear Algebra: Matrices and Operations

Related lectures (26)

Page 1 of 3

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.

Explains the step-by-step process of calculating determinants using elementary row operations.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

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

Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.

Covers strategies for matrix operations and the concept of vector spaces.

Covers elementary row operations, equivalent matrices, invertibility, and bases in linear algebra.

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Explores determinants in 3D space and their role in linear algebra.

Covers exercises related to linear algebra, focusing on finding bases and completing them in a vector space.