Program Explanation Given information: The coefficient matrix has been given A = [ 9 13 0 0 0 − 13 − 14 19 − 10 − 20 10 4 − 30 12 − 7 − 30 12 18 − 12 10 − 10 − 9 10 2 6 9 0 6 5 − 15 − 14 23 − 10 − 20 10 0 ] Explanation : Consider the following initial value problem A = [ 9 13 0 0 0 − 13 − 14 19 − 10 − 20 10 4 − 30 12 − 7 − 30 12 18 − 12 10 − 10 − 9 10 2 6 9 0 6 5 − 15 − 14 23 − 10 − 20 10 0 ] The eigen values of the given coefficient matrix are λ = -7, 11, 9, 3, 5, -4 Using linear system x ' = A x to convert coefficient matrix into linear equations x 1 (t) = 9x 1 +13x 2 +0x 3 +0x 4 +0x 5 -13x 6 ; x 2 (t) = -14x 1 +19x 2 -10x 3 -20x 4 +10x 5 +4x 6 ; x 3 (t) = -30x 1 +12x 2 -7x 3 -30x 4 +12x 5 +18x 6 ; x 4 (t) = -12x 1 +10x 2 -10x 3 -9x 4 +10x 5 +2x 6 ; x 5 (t) = 6x 1 +9x 2 +0x 3 +6x 4

5th Edition

ISBN: 9780321974235

Author: Calvis

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Problems on Growing Functions

For a given set of functions f and g, the growth of functions states that the function g grows as fast as the function f. The growth rate of algorithms helps determine the algorithm's efficiency and compare its performance to other algorithms.

Question

Chapter 5.2, Problem 50P

Program Plan Intro

Write a code to find the eigenvalues and eigenvector of given coefficient matrix and write a general solution in the scaler form.

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Chapter 5.2, Problem 49P

Chapter 5.3, Problem 1P

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Chapter 5 Solutions

EBK DIFFERENTIAL EQUATIONS

Ch. 5.1 - Let A=[2347] and B=[3451]. Find (a) 2A+3B; (b)...Ch. 5.1 - Prob. 2P Ch. 5.1 - Find AB and BA given A=[203415] and B=[137032].Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

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Write a code to find the eigenvalues and eigenvector of given coefficient matrix and write a general solution in the scaler form.

Solution Summary: The author explains how to write a general solution in the scaler form.

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Write a code to find the eigenvalues and eigenvector of given coefficient matrix and write a general solution in the scaler form.

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Chapter 5 Solutions