👉 Linear Algebra (LP) is a branch of mathematics that deals with vector spaces and linear transformations, focusing on the properties and operations of vectors, matrices, and systems of linear equations. At its core, LP involves working with sets of vectors and scalar multiples, exploring concepts like vector addition, scalar multiplication, and the span of a set of vectors. Matrices are used to represent linear transformations and systems of equations, with operations such as matrix multiplication, inversion, and eigenvalues providing tools to solve these problems. Key concepts include linear independence, basis, dimension, and the rank-nullity theorem. LP is foundational in various fields, including physics, engineering, and computer science, particularly in areas like optimization, data analysis, and machine learning, where it helps solve problems involving constraints and relationships between variables.
