阿摩線上測驗 登入

最新科目

最新試卷

最新試題

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.

最新申論題

最新課程

最新主題筆記

最新討論

22. 有關生物多樣性層次概念的敘述,下列何者錯誤? (A) 人類有不同的膚色是遺傳多樣性表現的一種,其可能與生存環境適應有關 (B) 物種多樣性通常是指在一個特定地區內,不同物種的數量,就是所謂的物種均勻度 (C) 基因多樣性考量物種個體間遺傳差異,通常族群有較高的基因多樣性,有利於長期生存與發展 (D) 生態系多樣性與生物棲地的特性有關,受地形與氣候的交互作用影響,因此複雜環境的生態系多樣性也比較高

12.有關Mycobacterium leprae的敘述,下列何者最不適當?(A)引起漢生病(Hansen's disease) (B)會損害周圍神經 (C)屬於快速生長mycobacteria (D)屬於抗酸桿菌

5. Consumers are _____ interested in having information on the provenance and quality of their food, and food safety remains a keen point of interest. (A) rarely (B) slightly (C) increasingly (D) reluctantly

6. Horses used for racing are usually housed in _____ and close confinement, which causes these social, plains-ranging animals, major distress. (A) freedom (B) isolation (C) companionship (D) excitement

17. 下列關於胰臟炎的描述,何者錯誤? (A) 高尿酸血症是導致慢性胰臟炎的最常見原因 (B) 高三酸甘油酯血症可能導致急性胰臟炎 (C) 脂肪酶(Lipase)指數上升是診斷急性胰臟炎的重要依據之ㄧ (D) 慢性胰臟炎可能導致糖尿病

49.新加坡政府為打造成為「智慧國家」,積極推動金融保險科技的發展。而下列敘述何者錯誤? (A)成立國際智慧金融中心,提升金融科技發展效率 (B)成立金融科技辦公室,提供金融保險科技一站式支持 (C)建置金融保險科技平台,加強監理機關與科技業者間之交流 (D)設置金融創新網路(AFIN)實驗環境,降低金融科技實驗成本