Linear Algebra

Linear Algebra is a field that deals with vectors, matrices, and spaces. Linear algebra may be one of the most applicable and foundational fields in mathematics. Besides being used to formalize a variety of fundamental ideas in mathematics, linear algebra is connected to a variety of computer applications, from computer graphics to network algorithms. In fact, the basic ideas used in modern search engines like Google are rooted in linear algebra.

Students learn the theory and practice of matrices and determinants and their use in solving linear equations. They study the structure and properties of linear transformations, vector spaces, and linear programming as they apply to such fields as biology, chemistry, differential equations, economics, psychology, and weather forecasting.

Linear Algebra Unit Outline

Unit 1: Vectors

Unit 2: Matrices

Unit 3: Lines and Planes

Unit 4: Systems of Linear Equations

Unit 5: Vector Spaces and Groups

Unit 6: Subspaces

Unit 7: Change of Basis

Unit 8: Linear Transformations

Unit 9: Eigenvalues and Eigenvectors

Unit 10: Least Squares