1 answer

/1 1 ... 1 | 22 ... 2 Prob. 6. (12pts) Consider the non-zero n x...

Question:

/1 1 ... 1 | 22 ... 2 Prob. 6. (12pts) Consider the non-zero n x n matrix A = In n ...n (a) Find all eigenvalues of A and spe

/1 1 ... 1 | 22 ... 2 Prob. 6. (12pts) Consider the non-zero n x n matrix A = In n ...n (a) Find all eigenvalues of A and specify their multiplicities. Explain your reasoning.

Answers

Lets check what Eigen value comes for different n Let n=2 so A= ( 2 į] (A-21] = [?? 221 0 = (1-2) (2-2)-1 o=2+2²-32-2 o=7²-3as we have testes for n x n matrix 2 2 - 2 ---2 A = n so r 1-2 I 1.-.-1 A-21=1 ? 2-22--- 3 3 3-2----3 S It 2+ 3 + ---th 1A911

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