This course will guide you through the fundamentals of linear equations, starting with a review of single-variable equations. Next, we'll delve into the world of matrices and systems of linear equations, covering:
Systems of linear equations: Definition, classification, and step-by-step resolution using the Gauss method.
Matrix fundamentals: Key concepts and essential operations.
Inverse matrices: Learn how to calculate them using the Gauss and adjugate methods.
Matrix equations: A practical introduction to this type of equation.
Determinants and rank: Master the calculation of determinants and the concept of matrix rank.
Cramer's rule: Discover its application for solving systems of linear equations.