Hi, can someone help me with this question? Please be specific with your solution.

Thanks a lot

-----; _ _,..... .... 4/- 2. Suppose that you are told the matrix a I) 1221) A: 312 c 2ba a2b+2c b a+2b has an eigenvalue of 6 with corresponding eigenvector v = [3 2 1] T. (i) (7 points) Determine the values of a, b, and 3. (ii) (3 points) The eigenvalues of A are A1 = A2 = 6, and A3 = 3 Find an eigenvector of w of A corresponding to the eigenvalue A3 = 3