Consider the Initial Value Problem:X1=(a) Find the eigenvalues and eigenvectors for the coefficient matrix.181v1x₁x^2==- 3x₁ + 3x₂9- 6x1 + 3x₂"(b) Solve the initial value problem. Give your solution in real form.X1 =x2 =and A2x₁ (0)x₂ (0)="==V2=27[8]

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Answered: Consider the Initial Value Problem: X₁…

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.

Chapter10: Matrices

Section10.CR: Chapter 10 Review

Problem 62CR

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Consider the Initial Value Problem: X₁ x2 = x2 (a) Find the eigenvalues and eigenvectors for the coefficient matrix. 181 71 = = - 3x1 + 3x2 -6x1 + 3x2 (b) Solve the initial value problem. Give your solution in real form. x1 = and X2 x1 (0) x2 (0) = = 2 7 = v₂ = 181