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  3. 5 determine whether the following sets and operations form a...

Question: 5 determine whether the following sets and operations form a...

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5. Determine whether the following sets and operations form a group. (a) S a+b/2 a,b E Q) 10 under multiplication (b) S-{2E C | 너 = 1} under multiplication (c) S {A є M,(R) | At-A under addition (where At denotes the transpose of a matrix A) (d) S (A EMm(R) | At-A) under multiplication (e) S A E M(R) | det A 1 under addition (f) S- A E Mn(R) | det A-1 under multiplication

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