Linear Algebra

Linear algebra is a branch of mathematics that studies vectors, vector spaces, linear transformations, and systems of linear equations. It provides a framework for modeling and manipulating relationships that are "linear," meaning they can be represented geometrically as lines, planes, or their higher-dimensional analogs called hyperplanes. The primary tools of linear algebra are matrices and vectors, which offer a powerful way to represent data, solve complex systems of equations, and describe transformations like rotations, scaling, and shears in space, making it a foundational tool in fields ranging from computer graphics and data science to physics and engineering.