Practical Linear Algebra

Linear algebra, that is, the manipulation and solution of simultaneous linear equations, forms the core of many problems, from curve fitting to computational fluid dynamics. Efficient and accurate assembly and processing of these relationships is essential to effectively implementing diverse mathematical tasks. In this text we will examine the many types, characteristics, methods, and means of dealing with these systems of equations. Topics covered in this text will range from sparse matrices to vectorization to singular value decomposition. All of the software is available free online.