Linear Systems

Linear systems are the backbone of linear algebra, providing a structured way to model and solve a wide array of problems across mathematics, physics, engineering, and computer science. At their core, they represent a set of linear equations that must be satisfied simultaneously, encoding relationships between variables through coefficients and constants. These systems are not merely abstract constructs but are pivotal in applications ranging from optimizing ML models to simulating physical systems and solving real-world problems like traffic flow or resource allocation.