(5%) Let For what valuc(s) of h is b in the planc spanned by al and az?
(A) 0
(B) -10
(C) 16
(D) -17
(E) 20

78.下列何者非美白乳液的主要添加成分(A)玻尿酸(B)熊果素(C)鞣花酸(D)傳明酸。

79.瓦斯熱水器所用的燃料可分為「天然瓦斯（天然氣）」及「桶裝瓦斯（液化石油氣）」二大 類，其主要成分(A)均為比空氣重的丙烷(B)均為比空氣輕的甲烷(C)「天然瓦斯」主要成分為比 空氣重的甲烷(D)「天然瓦斯」主要成分為比空氣輕的甲烷。

80.化妝品的銷售方式有多種，以「無店頭」人對人方式的銷售方法稱為(A)直銷業(B)零售商店(C) 郵購(D)百貨公司專櫃。

12. (10%) Let M be a subset of R3 containing two or more vectors. Then: (A) The span of any two vectors in M is a plane in R3 (B) Every vector in M is in the span of M (C) If M contains more than threc vectors, then M is linearly independent (D) The span of any two nonzero vectors in M is a plane in R3 (E) None of the preceding statements is true

複選題Which of the following sets is basis (are bases) for R3? (A){10,1,0]T,[0,0,1]T,[1,0,0T}. (B){-2,4,-6]T,[1,-2,3]T}. (C){|0.14,0, -0.1]T, [-1,-0.2,0.4]T,[0.5,0.5,-1)T} (D) {1-1,2,3]T, [8,-7,6]T, [4,-2,3]T,[9,0,5]T}, (E) None of the above are true.

(5%) Find the dimension of the subspacc (A) 2 (B) 3 (C) 4 (D) 1 (E) 0 

(5%) Which of the following is true? (A) Every nonzero subspace of Rn has a unique basis. (B) Every subspace of Rn has a basis composed of standard vectors. (C) The column space of an m✖ n matrix is contained in Rm. (D) If V is a subspace of dimension k, then every generating set for V contains exactly k vectors. (E) The pivot columns of a m ✖ n matrix A form a basis for the column space of A.

複選題Consider the vector space S consisting of all degree-2 polynomials with real coefficients, ie., polynomials in the form of c0 +c1t +c2t2. Define the inner product between two vectors as c2d2. Which of the following statement is/are true? (A). The dimension of S is 2. (B). The polynomials 1 + t, t and 1 + t2 are linearly independent. (C). The set{1 + t, t, 1 + t2} can be a basis for S. (D). The two polynomials 1 - 2t + t2, and -1 + 2t - t2 are orthogonal to cach other. (E). None of the above is true.

複選題Find a basis of U, if exist, U ={f(x)|f(x)=a+bx+cx2+dx3},p3 =span{1,x,x2,x3}.(10% (A) f(2)=0(B)f(1)=5(C)a+b=c+d, a=2d

1 「單親家庭易導致子女的社會偏差行為」的論述若要成立，不能有下列那個「解釋」情況？ (A) 單親家庭如何導致子女偏差行為應有合理的推論 (B) 控制了其他變數，單親家庭和子女偏差行為的關連性大為減弱 (C) 也有雙親家庭的子女出現偏差行為 (D) 也有單親家庭的子女有優異的表現