The orthonormal bases for a three-dimensional
Hilbert space is described by 
. The action of an operator Ô in this space is given by:
Obtain the matrix representation of this operator.
To obtain the matrix representation of the operator \(\hat{O}\) in the given orthonormal basis \(\{\vert\phi_1\rangle, \vert\phi_2\rangle, \vert\phi_3\rangle\}\), we need to express the action of \(\hat{O}\) on each basis vector as a linear combination of the basis vectors. The coefficients of these linear combinations will form the ______ _____ ______ ________ _____ ______ _____.
___ ____ _____ ____ ________.
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______ __________ _____ ________ _______ ______ _________ ______.
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______ ___ _________ _______ ______ ______ _______ _________.
_____ ______ _______ ________ ______ ____ ___ __________ ___.
_____ _______ ________ ______ _______ _____ __________ _____.
______ _______ ______ ___ ___ _______.
__________ ____ ____ __________ ________ ____ ______ _______.
________ _____ ___ ____ ________ ______ ___ _____.
__________ _____ ____ ______ ________ ____ ________ ___ _______ ___ _________ ________.
___ ______ _____ _______ _________ __________ _________ ______ _________.
_______ _________ _____ _________ __________ ________ ____ ______ _________.
_____ _____ _______ _________ __________ _____.
___ ____ _____ ________ _____ _______ _________ ____ __________ ___.
_______ ________ __________ _______ _________ _____ ______.
__________ ______ _______ _____ __________ ___.
____ ______ _____ __________ _________ _____ ______ _________ ___.
______ ______ __________ ______ ____ ________ _______.
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______ _______.
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