MAT-2450 Linear Algebra

Credits 4
This course provides an introduction to linear algebra topics. Emphasis is placed on the development of abstract concepts and applications for vectors, systems of equations, matrices, determinants, vector spaces, multi-dimensional linear transformations, eigenvectors, eigenvalues, diagonalization and orthogonality. Upon completion, students should be able to demonstrate understanding of the theoretical concepts and select and use appropriate models and techniques for finding solutions to linear algebra-related problems with and without technology. The use of mathematical software is an integral part of the course.
Prerequisite(s): MAT-2410 completion with grade C or higher.
Course Outcomes

Solve systems of linear equation using Gaussian elimination, Gauss-Jordan elimination, inverse matrices, and LU-factorization.
Perform operations with matrices including finding the inverse and elementary matrix factorization.
Evaluate the determinate of a matrix and use properties of determinants.
Recognize vector spaces and determine bases and dimensions of vector spaces and subspaces.
Determine ranks of vector spaces, subspaces, matrices, and systems of linear equations.
Explore inner product spaces and create orthonormal bases in inner product space.
Apply properties of inner product space to solve least square problems.
Find the kernel and range and matrix of a given linear transformation.
Find eigenvalues and eigenvectors of a given linear transfomation and explore diagonalization and orthogonality.