Prove that GL(2, Z2) is a group with matrix multiplication

Expert Solution

Colby Messinger answered 1 year ago

Let H = {A∈GL(2,R)|(detA)2= 1}. Prove that H / GL(2,R).

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Write out the addition and multiplication tables for the ring Z2[x]/(x^2 + x). Is Z2[x]/(x^2 + x) a field?

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Prove that Z_5 with addition and multiplication mod 5 is a field.

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