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• 6. (10 points) Let is an invertible matrixsuch that AQ is diagonal, then each column vector of Q is
• 3. Given the IEEE-754 single precision floating-point operand format as follows, (A) The decimal num
• 4. Y is distributed , and K is distributed . Suppose Probability(Y S 16) = 0.90. Please calculatePro
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• 2.如圖,圓O1、O2相交C、D兩點,已知圓O1半徑13,圓O2半徑20,=,其外公切線交兩於A、B兩點,連接=?(10分)(註:132=169，142=196，202=400，212=441)
• 7. (12 points) Let T:Rn→ Rn be a linear operator. Show that if T preserves theEuclidean distance bet
• 34 患者必須進行一系列的注射。任何一次注射出現不良反應的機率為 0.1，並且在兩次不良反應後必須停止注射。如果這些注射是獨立的，注射暫停時正好有 5 個注射是沒有不良反應的機率為何？ (A) (B
• (b) (3%) How can you tell whether a matrix is invertible from its eigenvalues?
• (c) (3%) How can you tell whether two matrices are similar from their eigenvalues?
• 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