Solved: Apply the result of Exercise 15 to find the

Chapter , Problem 16E

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Problem 16E

Apply the result of Exercise 15 to find the eigenvalues of the matrices

Reference:

Let J be the n × n matrix of all 1’s, and consider

Use the results of Exercise 16 in the Supplementary Exercises for Chapter 3 to show that the eigenvalues of A are a – b and a + (n – 1)b. What are the multiplicities of these eigenvalues?

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