Question: Pr. 2. Let A be a diagonal matrix with real entries that are distinct and non-zero. Letz be a vector with all non-zero entries. (a)

Pr. 2. Let A be a diagonal matrix with real entries that are distinct and non-zero. Letz be a vector with all non-zero entries. (a) Determine how the eigenvalues of the rank-one update B = A + er' are related to the eigenvalues of A and the vector c. Your final expression must not have any matrices in it. Hint: They will be implicitly related (not in a closed form expression) as the solution of an equation involving the cigenvalues of A and the elements of r. Hint: G + H =G(I + G-'H) if G is invertible, and look at HWI

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