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Prove or disprove: GL2(R), the set of invertible 2x2 matrices, with operations of matrix addition and...

Prove or disprove: GL2(R), the set of invertible 2x2 matrices, with operations of matrix addition and matrix multiplication is a ring.

Prove or disprove: (Z5,+, .), the set of invertible 2x2 matrices, with operations of matrix addition and matrix multiplication is a ring.

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