For each of the matrices in Exercises 1 through 18, find aU(real) eigenvalues. Then find a basis of each eigenspace, and find an eigenbasis, if you can. Do not use technology.

th Math 340 Lecture – Introduction to Ordinary Differential Equations – January 25 , 2016 What We Covered: 1. Worksheet 2: Direction Fields a. Highlights i. How direction fields correspond to distinct differential equations ii. You can get more practice with direction fields by visiting the Math 340 website 1. Under “Other Course Materials” you can download dfield 2. Course Content – Chapter 2: First-Order Equations a. Section 2.1: Differential Equations and Solutions Continued i. Direction Field: the geometric meaning of a differential equation and its soluti