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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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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。

21. 白聞天下談士相聚而言曰:「生不用封萬戶侯,但願一識韓荊州。」何令人之景慕,一至於此耶?豈不以有周公之風,躬吐握之事,使海內豪俊,奔走而歸之。一登龍門,則聲價十倍。所以龍蟠鳳逸之士,皆欲收名定價於君侯。願君侯不以富貴而驕之、寒賤而忽之,則三千之中有毛遂,使白得穎脫而出,即其人焉。(李白〈與韓荊州書〉) 上文的主旨,下列哪個選項最適當? (A) 李白向韓荊州自我推薦,希望得到入仕的機會。 (B) 李白譴責韓荊州無知人之明,使豪俊之士無以展其長才。 (C) 李白建議韓荊州尊賢使能,不應用人唯親。 (D) 李白勸說韓荊州急流勇退,讓有才能的後進出人頭地。

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

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

42.公用雲的資安問題常讓人擔憂,因此過去雲端供應商都藉由通過下列何種的 Type II 稽核標準,證明其服務對 於資安控管措施與目標已達到一定的安全標準? (A) ISO 27701 (B) NEMA (C) SAS70 (D) BSI

37 依據災害防救法第 41 條規定,中央災害防救委員會應協調金融機構,就受災地區民眾所需重建或修繕資金,予以低利貸款。前項貸款金額、利息補貼額度及作業程序應報請下列何者核定之? (A)金融監督管理委員會 (B)財政部 (C)中央災害防救會報 (D)國稅局