Let GL (R) denote the group of 2x2 non-singular matrices with real entries. a i.e. GL...

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Let GL₂ (R) denote the group of 2x2 non-singular matrices with real entries. a i.e. GL₂ (R) = {A = []|det (4) + 0). Let SL₂ (R) = {A E GL₂ (R) | det(A) = 1}. Show that SL₂ (R) is a subgroup of GL₂ (R). Let GL₂ (R) denote the group of 2x2 non-singular matrices with real entries. a i.e. GL₂ (R) = {A = []|det (4) + 0). Let SL₂ (R) = {A E GL₂ (R) | det(A) = 1}. Show that SL₂ (R) is a subgroup of GL₂ (R).

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A non empty subset H of the group G is a subgroup of G if His a group unde... View the full answer