Answer Happy • 9. Let R = {a + bv3 | a, b € Z} and R' the 2 x 2 matrices [ 36] * R a 3b а a where a, b E Z. а. Show that R is a subring

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9. Let R = {a + bv3 | a, b € Z} and R' the 2 x 2 matrices [ 36] * R a 3b а a where a, b E Z. а. Show that R is a subring

Posted: Wed May 11, 2022 10:27 pm

by answerhappygod

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9. Let R = {a + bv3 | a, b € Z} and R' the 2 x 2 matrices [ 36] * R a 3b а a where a, b E Z. а. Show that R is a subring of R. b. Show that R' is a subring of M2(Z). a c. Show that o: R = R' by ®[a+bv3) = 6 3 ) is + is a ring b isomorphism.