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# 261 Class Note for MA 29000 with Professor Eden at Purdue

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KARMA
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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at Purdue University taught by a professor in Fall. Since its upload, it has received 34 views.

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Date Created: 02/06/15
LESSON 34 Ma 290 4 and 6 Richard Eden 8 April 2009 Wednesday Section 62 Solving Systems of Linear Equations continuation y322 We can solve the system of equations 2 y 62 0 by transforming its aug z 22 4 merited matrix to row echelon form 0 1 3 2 1 1 6 0 1 1 6 0 7 0 1 4 74 1 0 2 4 0 0 1 76 We can avoid the back substitution by performing a few more row operations transform ing the augmented matrix to reduced rowechelon form it is in row echelon form and furthermore all entries above a leading 1 are 0 The method of solving a system of linear equations this way is called GaussJordan elimination Solve using Gauss Jordan elimination Example 1 32 7 2y 22 9 z 7 2y 2 5 2x 7 y 7 22 71 Lesson 34 MA 290 R Eden Spring 09 Page 1 of 3 Example 2 z 2y 7 z 1 2x By 7 z z By 22 6 Example 3 5x 7 6y z 2x 7 3y z 1 4x 7 3y 7 z Lesson 34 MA 290 R Eden7 Spring 09 Page 2 of 3 12 25 08 08 hatChling population is 240 and the adult population is 124 Find the population of both groups in year 1 Example 4 The Leslie matrix for a bird population is G ln year 27 the Reminders Homework for Lesson 34 due in Class this Friday Quiz on Friday over Lesson 34 EXAM 3 on Monday next week Lesson 34 MA 290 R Eden7 Spring 09 Page 3 of 3

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