Lectures related to Linear Algebra in 2D: Reduction Applications

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

Covers direct methods for solving linear systems in numerical analysis.

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

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

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.

Explores changing bases in linear algebra in 3 dimensions, focusing on matrix transformations and vector representations.

Explores subspaces, matrix equations, linear transformations, and their matrix representations in linear algebra.