Lectures related to Linear Transformations: Injective and Surjective

Explores the Steinitz Lemma and the concept of cycles in linear algebra.

Covers the concept of changing bases in linear algebra, emphasizing the importance of understanding the process for various situations.

Explains the Gauss-Jordan reduction method for solving linear equations using augmented matrices.

Covers the concept of composite of applications and the importance of certain hypotheses in matrix multiplication.

Explores the application of PDEs in viscoelastic materials and materials science.

Explains orthogonal bases in R^2 and how to perform orthogonal projections.