This course is an introduction to linear algebra. You will discover the basic objects of linear algebra – how to compute with them, how they fit together theoretically, and how they can be used to solve real problems.

Linear algebra is at the core of all of modern mathematics, and is used everywhere from statistics and data science, to economics, physics and electrical engineering. However, learning the subject is not principally about acquiring computational ability, but is more a matter of fluency in its language and theory.In this course, we will start with systems of linear equations, and connect them to vectors and vector spaces, matrices, and linear transformations. We will be emphasizing the vocabulary throughout, so that students become comfortable working with the different aspects.

We will then introduce matrix and vector operations such as matrix multiplication and inverses, paying particular attention to their underlying purposes. Students will learn not just how to calculate them, but also why they work the way that they do.

We will discuss the key concepts of basis and dimension, which form the foundation for many of the more advanced concepts of linear algebra.

The last chapter concerns inner products, which allow us to use linear algebra for approximating solutions; we will see how this allows for applications ranging from statistics and linear regression to digital audio.

This course is Part One of a two-part course. Part Two will cover topics such as determinants and eigenvectors.

The relationships between linear equations, matrices, and linear transformations; the principles of vector and matrix operations; the significance of basis and dimension of a vector space; the applications of inner products and orthogonality.

Dates:

- 1 October 2019

More on this topic:

Asset Pricing, Part 1

This course is part one of a two-part introductory survey of graduate-level...

This course is part one of a two-part introductory survey of graduate-level...

Computational Photography

In this course you will learn about the basics of how computation has impacted...

In this course you will learn about the basics of how computation has impacted...

Control of Mobile Robots

Learn about how to make mobile robots move in effective, safe, predictable,...

Learn about how to make mobile robots move in effective, safe, predictable,...

Introduction to Data Science

Join the data revolution. Companies are searching for data scientists. This...

Join the data revolution. Companies are searching for data scientists. This...

Exploring Quantum Physics

An introduction to quantum physics with emphasis on topics at the frontiers...

An introduction to quantum physics with emphasis on topics at the frontiers...

More from 'Mathematics, Statistics and Data Analysis':

Digital Analytics Fundamentals

This three-week course provides a foundation for marketers and analysts seeking...

This three-week course provides a foundation for marketers and analysts seeking...

IoT Programming and Big Data

Learn how to apply software solutions for different systems and Big Data needs...

Learn how to apply software solutions for different systems and Big Data needs...

Data Analysis in Social Science-Assessing Your Knowledge

Learn the methods for harnessing and analyzing data to answer questions of cultural...

Learn the methods for harnessing and analyzing data to answer questions of cultural...

Evaluation of Predictive Modelling

Gain an in-depth understanding of evaluation and sampling approaches for...

Gain an in-depth understanding of evaluation and sampling approaches for...

Engineering Calculus and Differential Equations

Learn fundamental concepts of single-variable calculus and ordinary differential...

Learn fundamental concepts of single-variable calculus and ordinary differential...

More from 'edX':

Product Design: The Delft Design Approach

Learn to design meaningful products and services in this introductory design...

Learn to design meaningful products and services in this introductory design...

Crafting Realities: Work, Happiness and Meaning

Learn to create and experience your work as a joyful and meaningful activity...

Learn to create and experience your work as a joyful and meaningful activity...

Steps in Japanese for Beginners1 Part1

Learn basic Japanese expressions to survive in Japanese. Andy, an exchange student...

Learn basic Japanese expressions to survive in Japanese. Andy, an exchange student...

Shakespeare's The Merchant of Venice: Shylock

An exploration of the magnetic and ambivalent character of Shylock in William...

An exploration of the magnetic and ambivalent character of Shylock in William...

First Nights - Monteverdi’s L’Orfeo and the Birth of Opera

Learn about Claudio Monteverdi's L 'Orfeo , one of the first operas ever written...

Learn about Claudio Monteverdi's L 'Orfeo , one of the first operas ever written...

© 2013-2019