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Hermitian Operator Matrix

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The operator Q is given by the matrix:
Q ( 1 i )
(-i -1)

a. Determine the matrix corresponding to Q.
b. Is Q Hermitian?
c. Find the Eigenvalues of Q
d. For each eigenvalue in part (c), determine the corresponding eigenvector

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This solution determines the matrix corresponding to Q, identifies if it is Hermitian and also finds the eigenvalues and eigenvector of Q. All steps are shown.

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