Question: 2. (Inverse iteration with shifts) Consider the matrix A = Using Gershgorin Circle Theorem to determine the following. [a.] Does A have a dominant eigenvalue?

 2. (Inverse iteration with shifts) Consider the matrix A = Using

2. (Inverse iteration with shifts) Consider the matrix A = Using Gershgorin Circle Theorem to determine the following. [a.] Does A have a dominant eigenvalue? Can we apply power methods to A? [b.] Does A- have a dominant eigenvalue? Can we apply power methods to A-1? [c.] Suppose we want to apply inverse iteration with shifts to find all the eigenvalues for the matrix A, give reasonable p for each case. Remark. Use the Gershgorin Circle Theorem, do not compute the eigenvalues. You will not get any credits if you compute the eigenvalues

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