Lectures related to Matrices: Elementary Linear Algebra

Explores the row and column ranks of a matrix in linear algebra, emphasizing their calculation and relationship.

Covers the concepts of kernel and image of a linear transformation and their relationship with the rank of the matrix.

Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

Explores matrix operations, injectivity, surjectivity, column spaces, and linear applications in linear algebra.

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

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