Let S = a b0 0: a, b R.(a) Prove that S is a subring of M2(R).(b) Prove that there is an
Chapter 14, Problem 14.13(choose chapter or problem)
Let S = a b0 0: a, b R.(a) Prove that S is a subring of M2(R).(b) Prove that there is an element E S such that EA = A for all A S, but there isan element C S such that CE = C.(c) Prove that S does not possess a unity.
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