Linear algebra is a branch of mathematics that deals with the study of linear equations and their solutions. In this course on linear algebra, you will be introduced to the fundamental concepts and techniques of this field. Through a series of lessons and interactive exercises, you will learn about key topics such as vector spaces, linear transformations, and eigenvalues.
In addition to these core concepts, the course will also cover a range of applications of linear algebra, including computer graphics and machine learning. By the end of the course, you will have a strong foundation in linear algebra and will be able to apply these concepts to real-world problems. Some examples of things that you will learn in this course include:
- How to define and manipulate vectors and vector spaces, including operations such as addition, subtraction, multiplication, and dot products
- How to define and manipulate linear transformations, including the concept of matrix representation and the use of matrix algebra
- How to calculate eigenvalues and eigenvectors, and how to use them to solve linear systems of equations
- How to use linear algebra to solve problems in computer graphics, such as transforming and rotating objects in three-dimensional space
- How to use linear algebra to solve problems in machine learning, such as finding the optimal weights for a neural network