Introduction to Linear Algebra

Introduction to Linear Algebra is a foundational course designed to provide students with a solid understanding of the fundamental concepts and techniques of linear algebra. Throughout the course, students will explore vectors and matrix operations, systems of linear equations, eigenvalues/vectors, diagonalization, linear transformations, bases, and subspaces, which are all key components of this important mathematical field.

Students will begin by studying the basic properties of vectors and matrices, including how to perform vector addition, scalar multiplication, and matrix operations. They will also learn how to solve systems of linear equations, both algebraically and graphically.

Moving on, students will delve into the concept of eigenvalues and eigenvectors, exploring how they relate to linear transformations and diagonalization. They will also investigate subspaces, bases, and span briefly in order to gain an awareness of the more abstract side of Linear Algebra.

Throughout the course, students will have the opportunity to develop their problem-solving skills through a variety of quiz questions. By the end of the course, students will have a strong foundation in linear algebra that will prepare them for further study in mathematics, engineering, computer science, and other fields that rely on this important subject. No matter whether you are an aspiring data scientist or you are already well into your career, this course can act as both a launching pad and a refresher on key concepts in linear algebra.