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Aaaba Please answer the following question attached below; Information; A = 3 2 k and 22 -1 Please find the following from information below; 1) Find Characteristic polynomial p(landa) and use it as it = 0, to find k, given that one eigenvalue is landa₁ =5, what is the other eigenvalue landa2 2) Find eigenvector V₁ connected to eigenvalue landa₁ = 5 3) The vector r = A 10 2 is to be written as a linear combination of the eigenvectors v₁ Find ci and C2 such that r = c₁ 2₁ + €₂%₂²

Aaaba Please answer the following question attached below; Information; A = 3 2 k and 22 -1 Please find the following from information below; 1) Find Characteristic polynomial p(landa) and use it as it = 0, to find k, given that one eigenvalue is landa₁ =5, what is the other eigenvalue landa2 2) Find eigenvector V₁ connected to eigenvalue landa₁ = 5 3) The vector r = A 10 2 is to be written as a linear combination of the eigenvectors v₁ Find ci and C2 such that r = c₁ 2₁ + €₂%₂²

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Aaaba Please answer the following question attached below; Information; A 3 k 2 -1 Please find the following from information below; 1) Find Characteristic polynomial p(landa) and use it as it = 0, to find k, given that one eigenvalue is landa₁ =5, what is the other eigenvalue landa2 2) Find eigenvector v₁ connected to eigenvalue landa₁ = 5 3) The vector r = and = 22 -1 1 10 [20] is to be written as a linear combination of the eigenvectors 2₁ Find C1 and C2 such that r = c₁ 2₁ + €₂ 2₂•
Transcribed Image Text:Aaaba Please answer the following question attached below; Information; A 3 k 2 -1 Please find the following from information below; 1) Find Characteristic polynomial p(landa) and use it as it = 0, to find k, given that one eigenvalue is landa₁ =5, what is the other eigenvalue landa2 2) Find eigenvector v₁ connected to eigenvalue landa₁ = 5 3) The vector r = and = 22 -1 1 10 [20] is to be written as a linear combination of the eigenvectors 2₁ Find C1 and C2 such that r = c₁ 2₁ + €₂ 2₂•
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