Linear Algebra: Matrix Algebra, Determinants, & Eigenvectors
About this Course
This course is the second course in the Linear Algebra Specialization. In this course, we continue to develop the techniques and theory to study matrices as special linear transformations (functions) on vectors. In particular, we develop techniques to manipulate matrices algebraically. This will allow us to better analyze and solve systems of linear equations. Furthermore, the definitions and theorems presented in the course allow use to identify the properties of an invertible matrix, identify relevant subspaces in R^n, We then focus on the geometry of the matrix transformation by studying the eigenvalues and eigenvectors of matrices. These numbers are useful for both pure and applied concepts in mathematics, data science, machine learning, artificial intelligence, and dynamical systems. We will see an application of Markov Chains and the Google PageRank Algorithm at the end of the course.Created by: Johns Hopkins University

Related Online Courses
This course introduces students to the basic concepts of shaping materials and their impacts on properties and structure. An introduction to the fundamentals of diffusion in a solid follows. We... more
In the Digital Forensics Concepts course, you will learn about legal considerations applicable to computer forensics and how to identify, collect and preserve digital evidence. This course dives... more
This Specialization is envisioned for learners who wish to deepen their interest in the Korean language and culture or to expand their cross-cultural philosophical interests to Korean philosophy.... more
Economics and economic theory is fundamental to decision making in business, policy, and everyday life. If you\'re interested in a career in business, law, accounting, or investment then studying... more
This is the third course in the Learn English: Advanced Grammar and Punctuation specialty. In this class, you will learn about the advanced grammar concepts of noun clauses and conditionals. You... more