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Question 2. Let M(2, Q) be the set of all 2 x 2 matrices with entries from Q, i.e., {[]: a,b,c,de : a, b,
Question 2. Let M(2, Q) be the set of all 2 x 2 matrices with entries from Q, i.e., {[]: a,b,c,de : a, b, c, d e Q}, where Q is the ring of rational numbers under the M (2,Q) = {[a usual addition and multiplication. 1. Show that (M(2, Q),+) is a group, where + is the usual matrix addition. 2. What is the inverse of [32] in (M(2,Q), +) 3. Let M(2,Q)* be the set of all 2 2 matrices with entries from Q except [0] Is M(2,Q) a group under the usual matrix multiplication? Justify your answer.
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