## Matrix Algebra

**05/10/2009 |** Introductory Lecture for Freshmen, *Humboldt University of Berlin*

A matrix is a simple array of numbers which is a powerful tool to understand linear maps, to interpret linear equations and to solve various problems in mathematics and physics. In my talk, I will review the different algebraic operations of matrices and explain how to calculate the determinant and the inverse of a matrix. Finally, I will explain the connection to linear equations and how a matrix represents a linear map between vector spaces.