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5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A. What is its eigenvalue? (b) By solving (A+2/)x 0, show that -2 is an ei

(c) Use the results of parts (a) and (b) to write down all eigenvalues of A along with their algebraic and geometric multipli

5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A. What is its eigenvalue? (b) By solving (A+2/)x 0, show that -2 is an eigenvalue of A.
(c) Use the results of parts (a) and (b) to write down all eigenvalues of A along with their algebraic and geometric multiplicities. Is A diagonalizable? (Note: This question does not require finding eigenvalues by solving det(A XI) 0)
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3 4 -1 2 3-6 ae know V is on eigenveator. 2. 1 2 3-6 2. 2 ie.24 6 8 -I 2 3 -1-2-3-YİİNyl 102 3 1 2 3 0 0 Lwcfrom part)we have, AE2 fire-parr- v) , we have, A=-2 İS Atgebiaic Multiplicity 3

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5. Let -2 0 2AA8 (a) Show thatis an eigenvector of A. What is its eigenvalue? (b) By solving (A+2/)x 0, show that -2 is an eigenvalue of A. (c) Use the results of parts (a) and (b) to write down all...
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