Learn the fundamentals of Linear Algebra in this first lecture of the Minicourse on Partial Differential Equations: Analytical and Numerical Tools offered by ICTP-SAIFR. Presented by Professor Oscar Reula from the National University of Córdoba, Argentina, this two-hour session establishes the mathematical foundation necessary for understanding partial differential equations. Explore key linear algebra concepts that serve as building blocks for the analytical and numerical approaches covered in the complete minicourse running from May 5 to June 30, 2025. Gain valuable mathematical insights from an expert in the field to strengthen your understanding of differential equations and their applications.