Linear Algebra is a branch of mathematics that focuses on the study of vectors, vector spaces, and linear transformations. It provides tools for solving systems of linear equations and understanding geometric concepts in higher dimensions. Key elements include matrices, which are rectangular arrays of numbers, and operations such as addition, multiplication, and finding determinants. In Linear Algebra, concepts like eigenvalues and eigenvectors help analyze linear transformations and their effects on vector spaces. This field has applications in various areas, including computer graphics, engineering, and data science, making it essential for understanding complex systems and modeling real-world phenomena.