Let J be the n Ã n matrix of all I's, and consider A = (a -

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Let J be the n Ã— n matrix of all I's, and consider A = (a - b)I + bJ; that is,

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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Linear Algebra and Its Applications

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Question Posted: May 02, 2016 12:09 PM

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Let J be the n Ã n matrix of all I's, and consider A = (a -

Question:

Lb b b.a

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Replace a by a in the determinant formula from Exercise 16 i...View the full answer

Linear Algebra and Its Applications

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