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A machine contains the grid of wires shown in the accompanying sketch. At the seven

Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher ISBN: 9780136009269 434

Solution for problem 46 Chapter 7.3

Linear Algebra with Applications | 4th Edition

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Linear Algebra with Applications | 4th Edition | ISBN: 9780136009269 | Authors: Otto Bretscher

Linear Algebra with Applications | 4th Edition

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Problem 46

A machine contains the grid of wires shown in the accompanying sketch. At the seven indicated points, the temperature is kept fixed at the given values (in C). Consider the temperatures T\ (/), 72(0, and T^(t) at the other three mesh points. Because of heat flow along the wires, the temperatures 7/ (0 changes according to the formulaTi(t + 1) = 7)0) - -L (7 )(/) - radj(0).where the sum is taken over the four adjacent points in the grid and time is measured in minutes. For example,r2(r + 1) = r2(o - jjj(r2

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7/21/2017 OneNote Online Integrals of trig functions 9/16/13 Monday, September 16, 211:00 AM https://onedrive.live.com/view.aspxresid=36773184373A8F0B%21196&authkey=AndS3T22WHUFCDM 1/3 7/21/2017 OneNote Online https://onedrive.live.com/view.aspxresid=36773184373A8F0B%21196&authkey=AndS3T22WHUFCDM 2/3 7/21/2017

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Chapter 7.3, Problem 46 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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A machine contains the grid of wires shown in the accompanying sketch. At the seven