Question 1. Let 1 2 -1 1 -1 -1 A = 1 -1 1 -1 1 Find all complex eigenvalues of A and find a basis for each complex eigenspace of A. Is A diagonalizable over C? Prove your answer.

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ISBN:9780470458365
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Question 1. Let
1
2
-1
1
-1
-1
A =
1
2
-1
1
-1
1
Find all complex eigenvalues of A and find a basis for each complex eigenspace of A. Is A diagonalizable
over C? Prove your answer.
Transcribed Image Text:Question 1. Let 1 2 -1 1 -1 -1 A = 1 2 -1 1 -1 1 Find all complex eigenvalues of A and find a basis for each complex eigenspace of A. Is A diagonalizable over C? Prove your answer.
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