1. Dr. Sun was one of the ______ physicians s in his generation.
(A) forbearing
(B) foremost
(C) forerunner
(D) foreseen

13. (5%) Consider the matrix Which of the following values of c will make the matrix A invertible? (A) 3； (B) 4； (C) 5； (D) 6； (E) None of the above.

14. (5%) Which of the following subsets of Rnis a subspace? (A) (B) (C) (D) (E)

複選題15. (5%) Which of the following statements are correct? (A) A basis for a subspace is a linearly independent subset of the subspace that is as large as possible. (B) If V is a subspace of dimension k, then every generating set for V contains exactly k vectors. (C) is any basis for Rn, then there exists a vector v so that v can not be expressed as a linear combination of bi, ba...., bn. (D) Let T be a linear operator on Rn, and u and V be two bases forRn. Denote [T]Bas the representative matrix of T with respect to any basis B for Rn. Then, [T]u and [T]v are similar. (E) If B is a basis for Rn and T is the identity operator on R", then [T]B = In.

複選題16. (5%) Which of the following statements are correct? (A) If λ is an eigenvalue of an n x n matrix A, then for any (B) If there exists some such that Av =λv, then λ is an eigenvalue of A. (C) If two matrices have the same characteristic polynomials, then they have the same eigen- values. (D) A diagonal matrix is always diagonalizable. (E) Let A and P be n X n matrices. If the columins of P form a set of n linearly independent eigenvectors of A, then AP is a diagonal matrix. 

2. Her husband was always tired after doing such an ______ task. (A) intriguing (B) obvious (C) envious (D) arduous

3. Some people think that video games have a(n) ______ influence on children. (A) inhibiting (B) boring (C) educated (D) pernicious

4. In some places, you have to learn to ______ if you want to buy something at a reasonable price. (A) bargain (B) contract (C) sell (D) transfer

5. The long dark days and lack of a job made John feel (A) alarmed (B) excited (C) depressed (D) satisfied

6. The relentless e omic downturn has made the already-stagnant investment market more _______. (A) opaque (B) transparent (C) favorable (D) astute

7. Estimates of the total consumer product sales vary from one region to another, but ______ regional sales, a stately upturn trend has bee n highly expected. (A) disregard (B) regarding (C) irrespective (D) respectively