MATH 3400 - Applied Linear Algebra

(3) Credit Hours
Prerequisite: MATH 2450
This course covers advanced topics in Linear Algebra including but not limited to: eigenvectors and eigenvalues, real vector spaces and their subspaces, symmetric and positive definite matrices, orthogonality and least squares, orthonormal bases, the Gram-Schmidt process and inner product spaces. Upon successful completion of the Applied Linear Algebra course, the students should be able to: 1. Perform computations involving matrices that are symmetric, positive definite, and similar, both by hand and using appropriate technology. 2. Identify real-world applications which can be modeled using eigenvalues, eigenvectors, and matrices of general transformations between finite dimensional vector spaces in addition to other topics. 3. Formulate and use appropriate technology to solve Least Squares Problems. 4. Define, identify, and solve problems involving orthonormal bases, in particular, problems involving the Gram-Schmidt Process. 5. Define, and identify real vector spaces, inner product spaces, and their corresponding subspaces.