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• 【題組】(b) Find all generators of the group.
• 5. Let matrix 【題組】5.1 Please find the eigenvalues and the corresponding eigenvector of the matrix A.
• 【題組】8.2 How long does each refresh command occupy the DRAM banks (in ns) such that across all theban
• 【題組】8.3 What data bus utilization, across all memory channels, is directly caused by DRAM refreshes?
• 【題組】8.4 How many refreshes are performed by the memory controllers during the 1.024 second period in
• 51. 將民眾力量納入國防力量，已經是全球的趨勢。例如國情威脅與我國相近的瑞士、以色列及新加坡，都是將國家安全與全民國防理念相結合，形成強大防衛動員力量。(A)O(B)X
• 5. Consider the multiplicative group ().【題組】(a) What is the order of the group? Why?
• 15. 設平面向量和互相垂直，且。若的長度為 6，則的長度為______。（化成最簡根式）
• (b) Buler's Theorem. For each n Ezt,n ＞ 1, and each a EZ, prove that if gcd(a,n) = 1,then (a中(n
• 【題組】5.2 Find matrix P that makes matrix A diagonal.
• 【題組】(b) Find the inverse of 25.
• 6. Let (ZxZ,⊕) be the group with (a, b)⊕(c, d) = (atc+2, 6+d-2) for any (a, b), (c, d) ∈ ZxZ wherea+
• 【題組】(b) What is the identity of the group?
• 【題組】(c) What is the inverse of (a, b)?
• 【題組】(d) [8%] Let (G, +) be an additive group and let h: ZxZ → G be a group homomorphism whereh(3, 2)
• 1. 動員準備機制則可區分為「物資動員」及「軍事動員」兩個子系統。(A)O(B)X
• 【題組】5.3 Are the both dragonized as well? If yes, please prove your reason.
• (12) (10pt) Calculate the matrix function, where the matrix M is defined as
• 3. The matrix is 【題組】3.1 Find the characteristic polynomial.
• 6. Let matrix . Please decompose the A by using SVD decomposition.
• 7. (Algorithm points) In each of the following, . Solve for  relative to the given set ,and determin
• 9.After your analysis, you find that it is not practical to analyze the phenomenon in thefrequency d
• 51. 進入公共場所時，應實施消防安全診斷，以確保安全，不合格的場所就應該拒絕前往。(A)O(B)X
• 【題組】3.2 Find the eigenvalues,
• 【題組】3.3 And Find the associated eigenvectors.