# Linear Algebra

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Elementary Linear Algebra Chapter 2 Howard Anton Copyright © 2010 by John Wiley & Sons, Inc. All rights reserved. Chapter 2 Determinants  2.1 Determinants by Cofactor Expansion  2.2 Evaluating Determinants by Row Reduction  2.3 Properties of Determinants; Cramer’s Rule Section 2.1 Determinants by Cofactor Expansion A technique for determinants of 2x2 and 3x3 matrices only Row Reduction and Determinants Section 2.3 Cramer’s Rule Section 2.3 Cramer’s Rule February 5, 2019 Name:__________________ MATH 225: Linear Algebra Recap of Section 2.2 – Evaluating Determinants by Row Reduction ______________________________________________________________________________ ______________________________________________________________________________ Instructions: Per our lecture on 2/5/19, show the determinants of the elementary matrices in Example 1 (of section 2.2 in 10th edition) are the value that is listed below. Be prepared to discuss in class on February 7, 2019. You may work in groups and refer to your lecture notes or textbook. Show your work for full credit. Exercises: a. Demonstration of Theorem 2.2.4 part a Show that the determinant of the elementary matrix below is equal to 3. 1 0 0 0 0 3 0 0 0 0 1 0 0 0 0 1 b. Demonstration of Theorem 2.2.4 part b Show that the determinant of the elementary matrix below is equal to -1. 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 0 c. Demonstration of Theorem 2.2.4 part c Show that the determinant of the elementary matrix below is equal to 1. 1 0 0 0 0 1 0 0 0 0 1 0 7 0 0 1 ...
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andythewxman
School: Carnegie Mellon University

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Anonymous
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