Question: a. If R is a ring with unity and a, b are units of R, prove that ab is a unit of R and that

a. If R is a ring with unity and a, b are units of R, prove that ab is a unit of R and that (ab)-l = b-la-l.
b. For the ring M2(Z), find A-1 B-1 (AB)-1 (BA)-1
and B-1A-1 if

2 2 1

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