Program Description: Purpose of problem is to write the general solution of the system x ′ = [ 3 − 2 0 − 1 3 − 2 0 − 1 3 ] x ; x 1 = e t [ 2 2 1 ] , x 2 = e 3 t [ − 2 0 1 ] and x 3 = e 5 t [ 2 − 2 1 ] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Answer 1

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Chapter 5.1, Problem 26P

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Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Answer 2

Question

Chapter 5.1, Problem 26P

Program Plan Intro

Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Answer 3

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Chapter 5.1, Problem 26P

Program Plan Intro

Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Answer 4

Question

Chapter 5.1, Problem 26P

Program Plan Intro

Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Answer 5

Chapter 5.1, Problem 26P

Program Plan Intro

Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

Answer 6

Chapter 5.1, Problem 26P

Program Plan Intro

Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

Answer 7

Chapter 5.1, Problem 26P

Program Plan Intro

Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

Answer 8

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Answer 9

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Answer 11

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

Solution Summary: The author explains that the given vectors are solutions of the system, and that they are linearly independent.

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Program Description: Purpose of problem is to write the general solution of the system x′=[3−20−13−20−13]x;x1=et[221], x2=e3t[−201] and x3=e5t[2−21] and verify that the given vectors are solutions of the system. Also, show that they are linearly independent.

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Chapter 5 Solutions