The domain of the composite function 1f g21x2 is the same as the domain of g1x2.

FIRST-ORDER SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS II: Homogeneous Linear Systems with Constant Coeﬃcients David Levermore Department of Mathematics University of Maryland 28 January 2012 Because the presentation of this material in lecture will diﬀer from that in the book, I felt that notes that closely follow the lecture presentation might be appreciated. Contents 3. Matrix Exponentials 3.1. Introduction 2 3.2. Computing Matrix Exponentials 3 3.3. Two-by-Two Matrix Exponentials