Consider the mathematical system with the single element {1}under the operation of multiplication. Answer and explain thefollowing:
a) Is the system closed?
b) Does the system have anidentity element?
c) Does 1 have an inverse?
d) Doesthe associative property hold?
e) Does the commutative propertyhold?
f) Is {1} under theoperation of multiplication a commutative group?
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