Linear algebra is a branch of mathematics that deals with vector spaces and linear mappings between these spaces, focusing on the study of lines, planes, and subspaces. It is fundamental in various scientific fields, providing tools for solving systems of linear equations, performing transformations, and analyzing vector spaces and matrices.
Electrical networks are interconnected systems of electrical components designed to transfer, distribute, and manage electric power or signals. They form the backbone of modern electrical systems, enabling the efficient and reliable operation of everything from household appliances to complex industrial machinery.
Effective resistance is a concept used in electrical circuits to quantify the total resistance between two nodes in a network of resistances. It simplifies complex resistive networks by representing them as a single equivalent resistor, facilitating easier analysis and understanding of the circuit's behavior.