Norm

A norm is a way to measure the size or length of a mathematical object, such as a vector or a matrix. Think of it as a generalization of distance, providing a single number that indicates how "big" or "long" the object is. For example, in simple terms, the norm of a vector can be its length calculated using the Pythagorean theorem. Norms help us compare and analyze mathematical objects, ensuring consistent measurement across different contexts. They are fundamental in various fields like engineering, physics, and mathematics for understanding stability, size, and magnitude.