A) identity element does not exist
B) closure property is not satisfied
C) association property is not satisfied
D) inverse axiom may not be satisfied
Correct Answer: D
Solution :
Square matrices of \[2\times 2\] over the real numbers. We know that as inverse axiom may not exist for all \[2\times 2\] matrices, therefore, the set of all \[2\times 2\] matrices over the real numbers is not a group.
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