Give an example, with justification, of a commutative subgroup of a non- commutative group.

Consider the group \( G = GL(2, \mathbb{R}) \), the group of all invertible 2x2 matrices over the real numbers, under matrix multiplication. This is a non-commutative group because matrix multiplication is not commutative _____ ________ __________ ________ _____ ______ ___.
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