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

Chapter 9, Problem 3

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Use the Gersgorin Circle Theorem to determine bounds for (a) the eigenvalues and (b) the spectral radius ofthe following matrices. 1 O 0 1 4-1 0 a. -1 0 1 b. -1 4 -1 -1 -1 2 -1 -1 4 c. 3 2 1 2 3 0 1 0 3 d. 4.75 2.25 -0.25 2.25 -0.25 4.75 1.25 1.25 4.75

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