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The temperature of a hot cup of coffee can be modeled by the DET'(t) = k(T(t) A).a. What

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

Solution for problem 30 Chapter 9.3

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 30

The temperature of a hot cup of coffee can be modeled by the DET'(t) = k(T(t) A).a. What is the significance of the constants k and AI b. Solve the DE for T(t), in terms of k, Ay and the initial temperature 7o.

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M303 Section 2.1 Notes- Matrix Operations 10-5-16  Recall if is × matrix, ientry denoted as =  Diagonal entries of - subscripts are sam11 ie22 ,…,  Diagonal matrix- if is square × matrix, its off-diagonal entries e 0s; only nonzero o Ex. Any identity matrix 1 0 0 0 o Ex.[0 2 0 0 ] still diagonal; diagonal entries can be anything 0 0 0 0 0 0 0 1  Zero matrix- any size, all entries 0; denoted 0  Add/scalar multiply matrices

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Chapter 9.3, Problem 30 is Solved
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Textbook: Linear Algebra with Applications
Edition: 4
Author: Otto Bretscher
ISBN: 9780136009269

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The temperature of a hot cup of coffee can be modeled by the DET'(t) = k(T(t) A).a. What