Chapter 1 Overview

Chapter 1 introduces the idea of solving systems of linear equations, provides an algorithm that can always be used to find solutions, and introduces Sage as a tool to do these computations for us.

• 1.1 What can we Expect?
• 1.2 Finding solutions to systems of linear equations
• 1.3 Computation with Sage/Gaussian elimination
• 1.4 Pivots and their influence on the solution space

We will see the following applications: balancing chemical equations, traffic flow, and temperature distribution on a grid.