Lectures related to Linear Applications: Definitions and Matrices

Linear Applications: Definitions and Properties

Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.

Linear Applications: Matrices and Transformations

Covers linear applications, matrices, transformations, and the principle of superposition.

Dimension Calculation in Linear Algebra

Covers the calculation of dimensions in linear algebra, focusing on determining the dimension of the kernel of a given matrix.

Matrix Representations of Linear Applications

Explores matrix representations of linear applications, including change of basis and invariants.

Vector Spaces: Operations and Linear Transformations

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Linear Transformation: Matrix Determination and Subspaces

Covers the determination of a matrix associated with a linear transformation and the concepts of kernel and image.

Linear Transformations in R³

Covers operations on linear applications in R³, including composition, addition, and determinants.