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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. (4 points) 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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24. 研究者依據新課綱編訂國文教材,他想了解新的教材教學效果 是否優於傳統教材,他原先希望藉由隨機抽樣、隨機分派的方 式進行研究,但在學校行政實務上卻不可行,請問他可以採哪 一種研究方法進行研究,還能獲得可靠與有價值的結果? (A) 觀察研究法 (B) 相關研究法 (C) 實驗研究法 (D) 準實驗研究法

13.無氧運動能力的測量方法,下列何者為是? (A)溫蓋特動力測驗(WingateTest)(B)20m穿梭跑測試(PACERTEST)(C)3分鐘登階 測驗(D)1600公尺跑走。

1. Vaccines help teach your pet’s _____ system how to recognize and fight off certain disease-causing agents. (A) digestive (B) nervous (C) respiratory (D) immune

44.史蒂芬史匹柏的電影「A.I.」中,主角男孩屬於下列何種人工智慧? (A)應用型人工智慧 (B)通用型人工智慧 (C)普通型人工智慧 (D)人類型人工智慧

45.有關區塊鏈上的智能合約,下列敘述何者錯誤? (A)可被觸發後自動執行,降低業務成本,減少人為錯誤 (B)合約程式儲存於區塊鏈,無法竄改 (C)合約程式由區塊鏈平台上礦工節點執行 (D)合約程式由區塊鏈自動產生,並部署於用戶之錢包軟體然後等待執行

33 依據災害防救法第 20 條規定,直轄市、縣(市)政府應依災害防救基本計畫、相關災害防救業務計畫及地區災害潛勢特性,擬訂地區災害防救計畫,經各該災害防救會報核定後實施,並報中央災害防救會報備查。另直轄市、縣(市)政府應配合地區災害防救計畫調整下列那一項計畫? (A)土地使用計畫 (B)防災計畫 (C)搶救計畫 (D)安置計畫