Provide the transformation matrix for a  rotation.

In quantum chemistry and group theory, the transformation matrix for a C₂ rotation refers to the matrix that represents a 180° rotation of a molecule about an axis. For a molecule with a certain symmetry, this rotation changes the position of atoms in a ________ ______ ______ ________ _______ _______ _____ ____ ________.
_________ ____ _______ ___ ________ ___ _____ __________ ________.
__________ _________ ___ ________ _________ __________ ___ ________ ____ ___ ______ ______.
________ __________ __________ __________ ____.
___ ___ _____ _____ __________.
____ __________ ___ _______ ________ _________ ________ ___ ______ ____ ______ ____.
________ _______ ____ _________ ______.
______ ________ ______ _______ _________ ___ _______ _____ ______.
__________ _______ ___ ___ _____ ________ __________ _______ _______ __________ ________ _____.
__________ _____ ______ _________ ______ ___ ___ _____ _______ _________.
_______ ___ _________ _________ _______ __________.
____ ________ ___ _________ ___.
________ _________ _________ ____ ___ ______ ___ ________ ________ _____ ______ ________.
__________ ______ ________ ____ _____ ______ ___ _____ __________ _________ _______ _________.
_______ ___ ______ _______ _____.
____ _______ __________ __________.
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