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Georgia Institute of Technology

Applications of Linear Algebra

Georgia Institute of Technology via edX Professional Certificate

Overview

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This certificate program will take students through roughly seven weeks of MATH 1554, Linear Algebra, as taught in the School of Mathematics at The Georgia Institute of Technology.

In the first course, you will explore the determinant, which yields two important results. First, you will be able to apply an invertibility criterion for a square matrix that plays a pivotal role in, for example, computer graphics and in other more advanced courses, such as multivariable calculus. The first course then moves on to eigenvalues and eigenvectors. The goal of this part of the course is to decompose the action of a linear transformation that may be visualized. The main applications described here are to discrete dynamical systems, including Markov chains. However, the basic concepts afforded by eigenvectors and eigenvalues are useful throughout industry, science, engineering and mathematics.

In the second course you will explore methods to compute an approximate solution to an inconsistent system of equations that have no solutions. This has a central role in the understanding of current data science applications. The second course then turns to symmetric matrices. They arise often in applications of the singular value decomposition, which is another tool often found in data science and machine learning.

Syllabus

Courses under this program:
Course 1: Linear Algebra III: Determinants and Eigenvalues

This course takes you through roughly three weeks of MATH 1554, Linear Algebra, as taught in the School of Mathematics at The Georgia Institute of Technology.



Course 2: Linear Algebra IV: Orthogonality & Symmetric Matrices and the SVD

This course takes you through roughly five weeks of MATH 1554, Linear Algebra, as taught in the School of Mathematics at The Georgia Institute of Technology.



Courses

Taught by

Greg Mayer

Reviews

5.0 rating, based on 1 Class Central review

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  • Ciuciucu Alexandru Liviu
    a very good course, comprehensive, with proofs and has a good structure. i gladly recommend it for anyone wanting to learn liniar algebra

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