Let H denote the subset of GL(2, R) consisting of elements of GL(2, R) whose four...

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Let H denote the subset of GL(2, R) consisting of elements of GL(2, R) whose four entries are all rational numbers. Prove that H is a subgroup of GL(2, R). Let H denote the subset of GL(2, R) consisting of elements of GL(2, R) whose four entries are all rational numbers. Prove that H is a subgroup of GL(2, R).

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Here is a detailed proof that H is a subgroup of GL2R 1 Closure under multiplication Let A B be elem... View the full answer