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Please answer each question dutifully and thoroughly for a like. Reposted answers will be downvoted. 2. Suppose that you are told the matrix a Z)

Please answer each question dutifully and thoroughly for a like. Reposted answers will be downvoted.
2. Suppose that you are told the matrix a Z) 326 A: 35 c 2bia faiZb+2c b a+2b has an eigenvalue of 6 with corresponding eigenvector v = [3 2 1] T. (i) Determine the values of a, b, and c. (ii) The eigenvalues of A are A1 = A2 = 6, and A3 = 3. Find an eigenvector of w of A corresponding to the eigenvalue A3 = 3

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