Consider the matrix г0 20] A=27 1 Lo 1 4J 1. By using the Gershgorin theorem, determine a region containing all eigenvales of A. 2. Use power method to compute the dominant eigenvalue, 1 of A and its associated eigenvector v1. Use v(0) = (0, 1, 0) and stop the iteration when Imk+1 mk|<0.05. Do your calculation in four decimal places (4DP). 3. By using shifted power method with shifting factor p = 21, compute the smallest eigenvalue, 3 and its corresponding eigenvector, v3. Use v(0) = (1, 0, 0) and stop the iteration when X(k) - X(k-1)|< 0.05. Do your calculation in four decimal places (4DP). 4. Using results obtained from part (a) and (b), find the other eigenvalue, λ2 of A.