Among the following sets, choose those that are groups.

Question

Accepted Answer

The set of all 4x4 matrices of trace 0 equipped with addition of matrices.

Accepted Answer

The set of all 4x4 matrices of determinant 1 equipped with multiplication of matrices.

Answer

The set of all 4x4 anti-symmetric matrices equipped with multiplication of matrices.

Answer

The set of natural numbers with the operation   .

Answer

The set of strictly increasing functions defined over    equipped with composition.

Answer

The set of real numbers equipped with the operation   .

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