Linear Equations and Matrices
We begin with coordinate systems and graphing of linear equations. We consider systems of linear equations and the usual algorithm for solution, using pivoting. The augmented matrix of a system is introduced. We then introduce matrices and vectors in general; the basic properties of vectors and matrices and the usual operations of addition and multiplication are covered. We define zero and identity matrices and matrix inverses, and the application of inverses in solving equation systems. The Leontief input–output model is introduced briefly.