Professional Certificate in Applications of Linear Algebra

The certificate program covers seven weeks of MATH 1554 Linear Algebra as taught at The Georgia Institute of Technology.

The determinant is the first course. It yields two significant results. You will first be able apply an invertibility criterian to a square matrix, which plays a pivotal part in computer graphics, as well as in advanced courses such multivariable calculus. The second course teaches you how to calculate eigenvalues, eigenvectors, and other concepts. This part of the course aims to dissect the action of any linear transformation that can be visualized. These applications are primarily for discrete dynamical systems including Markov chains. The basic concepts of eigenvectors, eigenvalues, and their applications are applicable to all areas of science, engineering, and industry.

The second course will cover methods for computing approximate solutions to inconsistent systems of equations that do not have solutions. This is a key component in understanding current data science applications. The second course is symmetric matrices. These occur often in applications to the singular value decomposition which is another tool used in data science and machine-learning.