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]
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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