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100年 - 100 淡江大學 轉學考 代數#55909
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2. Show that a group G is abelian if and only if x
2
= e for any x in G, where e is the identity of G.
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In Japan in 1998 and 1999, prices were falling at 2 percent per year while the short-term interest rate was 0.1 percent per year.a.What was the real interest rate?
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b.“In 1998 and 1999, Japan was caught in a liquidity trap, where the central bank could not lower real interest rates and was therefore unable to stimulate the economy.” Is this statement true or false? Explain.
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(a) 2549 is divided by 11
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(b) 23461 is divided by 43
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3. Let G be a group such that | G | ＜ 200. Suppose G has subgroups of order 33 and 55, find the order of G..
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【已刪除】4. If H is a subset of a group G，show that H is a subgroup of G if and only if H is nonempty and ab-1 e H whenever a，b H.
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【已刪除】 (a)
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【已刪除】(b)
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【已刪除】(c)
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【已刪除】3a.下列敘述印出什麼？ (5%)
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