Solved: Use the Gersgorin Circle Theorem to determine bounds for (a) the eigenvalues and

Chapter 9, Problem 4

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Use the Gersgorin Circle Theorem to determine bounds for (a) the eigenvalues and (b) the spectral radius ofthe following matrices. a. -4 0 1 3 0 -4 2 1 1 2 -2 0 3 1 0 -4 b. c. 1 1 0 0 1 2 0 1 0 0 3 3 0 1 3 2 d. 1 0 1 1 2 2 1 1 0 1 3 -2 1 0 I 4 3 -1 0 1 -1 3 1 0 0 1 9 2 1 0 2 9

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