(a)
Interpretation:
Whether the symmetry operations satisfy the commutative law is to be predicted.
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
(b)
Interpretation:
It is given that the matrix multiplication is not commutative. Whether the given statement supports or refutes the conclusion found in part a is to be stated.
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
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