Matrix B is given as follows, -18 20 -61 B-12 14 -3 30 -30 13. a)...

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Matrix B is given as follows, -18 20 -61 B-12 14 -3 30 -30 13. a) Use the Gerschgorin's Circle Theorem to determine a region containing all the eigenvalues of B. b) Find the dominant eigenvalue (21) and the corresponding eigenvector of matrix B using Power method. Use v [0, 0, 1]. c) Find the smallest eigenvalue (23) and the corresponding eigenvector of matrix B using Shifted Power method. Use v - [0,0,1]. (0) d) Find the intermediate eigenvalue (22) of matrix B. Matrix B is given as follows, -18 20 -61 B-12 14 -3 30 -30 13. a) Use the Gerschgorin's Circle Theorem to determine a region containing all the eigenvalues of B. b) Find the dominant eigenvalue (21) and the corresponding eigenvector of matrix B using Power method. Use v [0, 0, 1]. c) Find the smallest eigenvalue (23) and the corresponding eigenvector of matrix B using Shifted Power method. Use v - [0,0,1]. (0) d) Find the intermediate eigenvalue (22) of matrix B.