Let H = {AGL(2, R)
Chapter 4, Problem 35SE(choose chapter or problem)
Let \(H=\{A \in G L(2, \mathbf{R}) \mid \operatorname{det} A \text { is rational }\). Prove or disprove that H is a subgroup of GL(2, R). What if “rational” is replaced by “an integer”?
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