Lesson Plan: Applications on Representing Data Using Matrices
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use matrices to model some applications like the payoff matrix of a game and the incidence and adjacency matrices of a graph.
Students will be able to
- write a matrix representing data from a real-life situation,
- write the payoff matrix of a game described in words,
- interpret the meaning of a given matrix representing data and use it to solve problems,
- write down the incidence or adjacency matrix of a graph,
- use an adjacency matrix of a graph to identify the number of paths of a certain length between two vertices.
Students should already be familiar with
- powers of matrices.
Students will not cover
- route problems in graph theory.