The course equips learners with basic knowledge about vector spaces, basis, transformations, and effective calculation tools for systems of linear equations, matrices, determinants, vector spaces, linear transformations, and change of basis.

The course aims to introduce students to linear algebra’s basic concepts and methods, emphasizing matrix manipulations. The students will learn how to work with vectors and matrices, determinants, systems of linear equations, and the basis of vector space. With the knowledge, skills, and competencies equipped, learners can easily study other related subjects in the training program, such as Calculus 1, Calculus 2, Optimization Theory, and Discrete Math after completing this course.

The content of the course 

• Chapter 1Systems of Linear Equations
• Chapter 2 Matrix Algebra
• Chapter 3 Determinants and Diagonalization
• Chapter 4 Vector Spaces
• Chapter 5 Linear Transformations
• Chapter 6Change of Basis