Question: (5) [15pt] Let the matrix A E Rxn be defined by its components Of = 2i for i = 1, ...n, Mi+1 =-i, t1.=-i for

(5) [15pt] Let the matrix A E Rxn be defined by its components Of = 2i for i = 1, ...n, Mi+1 =-i, "t1.=-i for i=1, ...n - 1, the remaining components are zero. (a) Sketch the Gerschgorin discs of A. (b) Use Gerschgorin's Theorem and facts about symmetric matrices to show that all eiger are real numbers, larger or equal 1. (c) Using Gerschgorin discs. find an upper bound for the eigenvalues of A

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