Lectures related to Linear Algebra: Linear Transformations and Matrices

Covers linear applications between vector spaces, exploring their properties and uniqueness based on bases.

Explores linear algebra basics, emphasizing matrix representations of transformations and the importance of choosing appropriate bases.

Covers the method to calculate the images of vectors in a given base.

Introduces linear algebra basics, including linear independence, injectivity, surjectivity, and bases in vector spaces.

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.