Applied Linear Algebra: Understanding Vectors and Matrices

This certificate course in Applied Linear Algebra focuses on the fundamental concepts of vectors and matrices. Vectors are defined as ordered lists of numbers, and their dimensionality is determined by the length of these lists. The course explores linear vector spaces, which consist of sets of vectors and functions, and the operations of addition, subtraction, and scalar multiplication. Students will learn about vector algebra, including the geometric interpretation of vectors as directed line segments with both magnitude and direction. While the concepts can be challenging, the practical applications of linear algebra are invaluable in various industries. This course aims to demystify these concepts and provide a solid foundation in linear algebra for real-world applications.