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25. (4 points) Which of the following statements are correct? (A) If Q is orthogonal, then det(Q) = = +1. (B) Let A be a real n x n matrix. Then A is symmetric if and only if A is orthogonally equivalent to a real diagonal matrix. (C) Let A E Rixm be a matrix whose characteristic polynomial splits over R. Then A is orthogonally equivalent to a real upper triangular matrix. (D) Let T be a self-adjoint (Hermitian) operator on a finite-dimensional inner product space V. Then every eigenvalue of T is positive. (E) Let T be a self-adjoint (Hermitian) operator on a finite-dimensional inner product space V. Then every eigenvalue of T is negative.

24. (4 points) Let Wi and Wa be subspaces of a finite-dimensional vector space V. Let 6 denote the direct sum. Which of the following statements are correct? (A) Win Wa is a subspace of V. (B) WiUW2 is a subspace of V. (C) W1+W2 is a subspace of V. (D) If V = Wi @ Wa, and Bi and Be are bases for Wi and Wa, respectively, then Bi O Bz = 0, and B1 U Bz is a basis for V. (E) If Wi e Wa = V, then the dimension dim(V) = dim(Wi)+dim(Wz).

23.  Which of the following statements are NOT correct? (A) If S is linearly independent and generates V, each vector in V can be expressed uniquely as a linear combination of vectors in S. (B) Every vector space has at least two distinct subspaces. (C) No vector is its own additive inverse. (D) All vector spaces having a basis are fnitely generated. (E) Any two bases in a finite-dimensional vector space V have the same number of elements.

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28. 2007 年國際災難創傷專家共識,大型創傷與災害初期至中期, 有五項具實徵基礎的介入原則,不包括下列哪一項? (A) 提升自我與社群效能感 (B) 篩檢自殺的高危險群 (C) 促進安全感 (D) 灌注希望

11. 0.1326 g鎂(原子量=24.31)放入氧彈卡計(oxygen bomb calorimeter)中燃燒,已知該卡計熱容 為 5,760 J/°C,假設溫度計上升 0.570°C,反應式為 2Mg(s) + O2(g) → 2MgO(s),熱含量變 化為多少? (A) -602 kJ/mol (B) -3280 kJ/mol (C) -24.8 kJ/mol (D) 435 kJ/mol

37. 重疊形式的加強作用是閩南語特有的造詞方式,下列哪一項是形容詞的疊字? (A)沖沖滾 (B)颺颺飛 (C)溜溜去 (D)燒滾滾

15. _____ might be necessary if a pet has become vicious, dangerous, or unmanageable. (A) Euthanasia (B) Vaccination (C) Enthusiasm (D) Compassion

22. 下列關於 B 型肝炎的敘述,何者錯誤? (A) 無 B 型肝炎抗體之嬰幼兒若遭 B 型肝炎病毒感染,多會變成慢性帶原者 (B) B 型肝炎目前尚無有效的口服抗病毒藥物可以治療 (C) 血清標記 AntiHBs 陽性代表對 B 型肝炎已有免疫力 (D) B 型肝炎主要經由血液或體液傳染

16.關於警察行使職權時之異議與紀錄,依據《警察職權行使法》第 29 條規定,下列敘述何者錯誤? (A)義務人或利害關係人得於警察行使職權時,當場陳述理由表示異議 (B)警察認為異議有理由者,應立即停止或更正執行行為 (C)義務人或利害關係人對於警察行使職權之方法、應遵守之程序或其他侵害利益之情事,僅 能於執行結束後,提起行政訴訟 (D)經義務人或利害關係人請求時,警察應將異議之理由製作紀錄交付之