Elementary Linear Algebra Part 1

Elementary Linear Algebra
Howard Anton ＆ Chris Rorres

Chapter 1
Systems of Linear Equations and Matrices

,Chapter Contents
■ 1.1 Introduction to Systems of Linear
Equations
■ 1.2 Gaussian Elimination
■ 1.3 Matrices and Matrix Operations
■ 1.4 Inverses; Rules of Matrix Arithmetic
■ 1.5 Elementary Matrices and a Method for
Finding
■ 1.6 Further Results on Systems of Equations
and Invertibility
■ 1.7 Diagonal, Triangular, and Symmetric
Matrices

,1.1 Introduction to
Systems of Equations

, Linear Equations
■ Any straight line in xy-plane can be
represented algebraically by an equation of
the form:

■ General form: define a linear equation in the n
variables :


■ Where and b are real constants.
■ The variables in a linear equation are sometimes
called unknowns.