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

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A: Solution attached in detail in step 2.

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A: We solve only (a).( According to guidelines)

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A: Use the given matrix.

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A: Disclaimer: Since you have asked for hand written solution and we are currently not providing hand…

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A: A=1331

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A: We have to determine the eigen values of matrix A.

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A: Solution of the problem as follows

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A: Please note that as per bartleby guidelines, I can answer only one question.

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Q: Please see image

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