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a. A system e was simulated such that the components of 0 as shown below were obtained: -3 3 7 - -2 l18 Prove that the eigenvectors associated with the eigenvalues of this system are -31 |-5 V1 V2 and v3

a. A system e was simulated such that the components of 0 as shown below were obtained: -3 3 7 - -2 l18 Prove that the eigenvectors associated with the eigenvalues of this system are -31 |-5 V1 V2 and v3

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.1: Introduction To Eigenvalues And Eigenvectors
Problem 16EQ
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QUESTION FOUR a. A system e was simulated such that the components of e as shown below were obtained: -3 -9 -2 18 Prove that the eigenvectors associated with the eigenvalues of this system are [-31 and vz = |-5 3 v, = v2 b. Explain the advantages of using modern control systems as against classical control systems (NOT more than 100 words). c. In this era of lockdown or shutdown in Accra, your family orders three days in a week (Monday, Wednesday and Saturday) Wakve. Banku and Apkle from a restaurant. The order for the week is categorized as follow: Wakye Banku Akple Monday Wednesday Saturday 2 4. 1 2 4 Next week the restaurant introduces special offer and reduces its prices. The prices for this week and next week are as follow: This Week Next Week Wakye 0.34 Banku 0.60 Akple 0.33 0.32 0.50 0.30 With your knowledge in matrices, determine the cost each day for this week and next week. Show that the savings of the family vis-a-vis the expenditure this week and next week are substantial.
Transcribed Image Text:QUESTION FOUR a. A system e was simulated such that the components of e as shown below were obtained: -3 -9 -2 18 Prove that the eigenvectors associated with the eigenvalues of this system are [-31 and vz = |-5 3 v, = v2 b. Explain the advantages of using modern control systems as against classical control systems (NOT more than 100 words). c. In this era of lockdown or shutdown in Accra, your family orders three days in a week (Monday, Wednesday and Saturday) Wakve. Banku and Apkle from a restaurant. The order for the week is categorized as follow: Wakye Banku Akple Monday Wednesday Saturday 2 4. 1 2 4 Next week the restaurant introduces special offer and reduces its prices. The prices for this week and next week are as follow: This Week Next Week Wakye 0.34 Banku 0.60 Akple 0.33 0.32 0.50 0.30 With your knowledge in matrices, determine the cost each day for this week and next week. Show that the savings of the family vis-a-vis the expenditure this week and next week are substantial.
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