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• 4. (a) (8%) For the following matrix, find the bases for its row space and nullspace.
• 8. (12 points) Let be a real symmetric matrix. Show that there existsa real symmetric matrix B such
• 5. A random draw (with replacement) of 1000 balls from a pool of several million balls is conducted.
• 4. Multiply algorithm(A) For a multiplication with multiplier 1100101111100111, the traditional mult
• 5.Which of the following statements are correct?(A) For a fixed-size cache, miss rate will decrease
• 2. (30%) Consider a finite quantum well in Fig. 1 with the potential energy of , where V0＞0.Please a
• 62. 有關「材料、構造」的 CNS 建築圖例及名稱，下列何者正確？(A) ：磚 (B) ：木材 (C) ：石材 (D)：卵石 。
• 一、十二年國民基本教育課程總綱及領域綱要採「學習重點」的表述取代以往的「教材大綱」，並從「學習內容」及「學習表現」兩個向度呈現學習重點。請分別說明「學習內容」和「學習表現」的意義(10%)，並分析「學
• (b) (3%) In R3, is xy plane orthogonal to xz plane ? Explain it.
• 2. After spending most of her salary on rent and food, Amelia _____ had any money left for entertain
• 3. Helen let out a sigh of ______ after hearing that her brother was not injured in the accident.(A)
• 4. The recent cooking oil scandals have led to calls for tougher ______ of sales of food products.(A
• 5. The airport was closed because of the snowstorm, and our ______ for Paris had to be delayed until
• 6. Shouting greetings and waving a big sign, Tony _____ the passing shoppers to visit his shop and b
• 7. The recent flood completely _____ my parents’ farm. The farmhouse and fruit trees were all gone a
• 8. Silence in some way is as _____ as speech. It can be used to show, for example, disagreement or l
• 9. Most of the area is covered by woods, where bird species are so _____ that it is a paradise forbi
• 10. Various studies have been _____ in this hospital to explore the link between a high-fat diet and
• 第 11 至 15 題為題組           April Fools’ Day, one of the most light-hearted days of the year, has an un
• 【題組】12. (A) continue (B) continuing (C) to continue (D) continued
• 【題組】13. (A) Precisely (B) Eventually (C) Additionally (D) Literally
• 【題組】14. (A) come to an end (B) go to great lengths (C) put in service (D) hold in store
• 【題組】15. (A) fictional (B) essential (C) ancient (D) subjective
• 5. (10%) Find the solutions y(x) to the following initial value problems【題組】(a)
• 第 16 至 20 題為題組           Ernest Hemingway (1899-1961) was an American author and journalist. His wri