## About Linear Algebra

Linear algebra developed as the study of systems of linear equations. It looks at structures which are preserved under the linear operations of addition and multiplication by scalars. In this course we will introduce vectors and matrices, examine their properties, and see how they can be used to solve systems of linear equations. We will look at how these concepts can be generalised into the idea of a vector space

Linear algebra has many applications, both in other areas of maths and in other scientific disciplines. For example, we can use concepts and techniques from linear algebra to tell us about the nature of solutions of certain differential equations, or for linear regression in statistics. It is used extensively in data science, and has many uses in engineering. In this course we will explore linear algebra in its own right, but will also develop the tools you need for applications in later areas of your degree.