MATH2753 — Linear Algebra
3 Credits Linear Algebra is a study of linear vector spaces where topics include linear mapping and matrix representations, determinants, vectors and vector spaces, linear transformations, bases and orthonormality, Eigen values and Eigen vectors, and their applications. Computer software and graphing calculators will be used to enhance learning. (GEO 2, 3) Execute matrix operations including inverses, determinants, and other algebraic operations. (GEO 2, 3) Describe and evaluate concepts involving vector spaces and subspaces, linear independence, span, basis, rank, nullity, and linear transformation. (GEO 2, 3) Determine eigenvalues and eigenvectors and solve eigenvalue applications. (GEO 2, 3) Apply principles of matrix algebra to linear transformations. (GEO 2, 3) Evaluate the dot product, norm, angle between vectors, and orthogonality of two vectors in R^n. (GEO 2, 3) Calculate inner products and identify associated norms. (GEO 2, 3) Create orthogonal and orthonormal bases: Gram-Schmidt process and use bases and orthonormal bases to solve application problems. (GEO 2, 3) Analyze and solve application problems in chemistry, economics, engineering, and computer science using linear algebra concepts. (GEO 2, 3) Use technology to collaborate, solve problems, represent data, and present solutions. (GEO 1,4) Latest Update Effective: Fall 2022
Prerequisites: MATH2204, MATH2224