“Linear Algebra” is a foundational subject that explores the concepts and techniques used to understand vector spaces and linear mappings. This subject is essential for students pursuing higher education in mathematics, engineering, computer science, physics, and other related fields.
Throughout the subject, you will delve into topics such as vectors, matrices, determinants, eigenvalues, and eigenvectors. You will learn how to solve systems of linear equations, perform matrix operations, and understand the geometric interpretations of linear transformations. The subject also covers vector spaces, subspaces, basis, dimension, and the concept of orthogonality.
Through a combination of theoretical lessons, practical applications, and problem-solving exercises, you will develop a deep understanding of how linear algebra is used to model and solve real-world problems. The subject emphasizes both computational techniques and abstract reasoning, preparing you for advanced studies in mathematics and its applications in various disciplines.
By the end of the subject, you will have mastered the core concepts of linear algebra and be equipped with the analytical tools needed for success in advanced mathematics, physics, engineering, and computer science subject.
