4. Let H= C³ with the standard inner product, and {10), 1), (2)} be an or- thonormal basis of H. (a) Consider the operator A defined by A|0)=1), A1)= 12), A2) = 10). Is A hermitian? Explain. [10]
4. Let H= C³ with the standard inner product, and {10), 1), (2)} be an or- thonormal basis of H. (a) Consider the operator A defined by A|0)=1), A1)= 12), A2) = 10). Is A hermitian? Explain. [10]
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![4. Let H= C³ with the standard inner product, and {10). 1). [2)} be an or-
thonormal basis of H.
(a) Consider the operator A defined by
A10) 11), A1)= 12), A2) = 0).
Is A hermitian? Explain.
[10]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9b85f7c-30cd-4d92-a4d3-965f6bfe62a6%2F17b8f93f-34b0-48f8-b815-6c0adba10c52%2Fi3p28v9_processed.png&w=3840&q=75)
Transcribed Image Text:4. Let H= C³ with the standard inner product, and {10). 1). [2)} be an or-
thonormal basis of H.
(a) Consider the operator A defined by
A10) 11), A1)= 12), A2) = 0).
Is A hermitian? Explain.
[10]
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