Consider the following matrix^- [61]A =(a) Find the eigenvalues and the eigenvectors of this matrix. (You need to show how you find them.)(b) Using the eigenvalues and the eigenvectors of A, solve the system of differential equations X = AX.

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Answered: Consider the following matrix ^-18 11].…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter11: Differential Equations

Section11.CR: Chapter 11 Review

Problem 12CR

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Consider the following matrix ^-18 11]. A = (a) Find the eigenvalues and the eigenvectors of this matrix. (You need to show how you find them.) (b) Using the eigenvalues and the eigenvectors of A, solve the system of differential equations x = AX.