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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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2.根據美國職棒大聯盟(MLB)2023年的新守備佈陣規則,下列何者不在此規則限制? (A)內野紅土區二壘左右任一側,都至少同時要有2名守備球員(B)當投手球出手時, 內野守備球員需雙腳完全站在內野紅土區(C)投手出手時,外野手站位不得跨區移 防超過中線至另一側(D)違反守備佈陣規則判守備方1顆壞球。

4.下列關於「運動i臺灣」2.0計畫之預期效益,何者敘述錯誤? (A)培育國民體適能指導員輔助全國體育活動,傳遞正確運動知能(B)辦理體適能檢 測服務達60萬人次以上(C)強化運動資訊平台功能,服務人次達800萬人次以上 (D)整合與深化跨部會運動推展業務合作機制。

18. 學校體育經營,依決策層級區分包含? (A)程式化決策與行政性決策 (B)策略性決策與非程式化決策 (C)程式化決策與非程式化決策 (D)策略性決策與行政性決策

67.有關匯票轉讓,下列敘述何者錯誤? (A)無記名匯票得背書轉讓 (B)背書人不得為禁止轉讓之記載 (C)記名匯票發票人有禁止轉讓之記載者,不得轉讓 (D)無記名匯票發票人有禁止轉讓之記載者,不生票據上之效力

24 民主國家人民有集會結社與表達意見的自由,利益團體的存在是必然的結果。利益團體常被批評 不利民主的原因,下列敘述何者錯誤? (A)利益團體透過政治獻金去影響決策,使得政策偏向資本家 (B)利益團體各有立場,彼此競爭甚至有所衝突 (C)大部分利益團體只追求單一或是少數特定目標 (D)沒有加入利益團體的人,需求會被忽視