Linear Algebra#
Linear algebra is a branch of mathematics that deals with linear equations and linear transformations. It is a fundamental mathematical concept that is used in many fields, including physics, engineering, and computer science. Linear algebra is based on the study of vector spaces, which are sets of objects that can be added together and multiplied (scaled) by numbers (scalars). In linear algebra, the objects in a vector space are often represented as vectors, which are directed lines with a magnitude (length) and a direction. Linear algebra is used to solve systems of linear equations, to perform matrix operations, and to represent and manipulate geometric figures in two or more dimensions. Some of the key concepts in linear algebra include vector addition and scalar multiplication, linear independence, basis and dimension, and eigenvalues and eigenvectors.