Lectures related to Cauchy-Towalewski Theorem

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Covers linear differential equations of order 1, focusing on homogeneous and separable equations.

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers the basics of linear mapping and coordinate systems.

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.