沒有 【段考】高二英文 權限，請先開通．

沒有 【段考】高二英文 權限，請先開通．

(c) (2%) Find, where C is the straight line going from the points (2,2,1) to the point (1,-1,2).

1. (15%) Evaluate the following integral

(a) (7%) Compute the quantity A given below where the Fourier transform of f1(t) is given in the following figure (a).

(b) (8%) Compute the quantity B given below where the Fourier transform of f2(t) is given in the following figure (b).  

(a) (6%) Please continue the argument to derive the result rank(A) = rank(R). .

接下來前段是背景知識介紹,之後才是提問)In solving the linear equation Ax=b for a igiven , instead of using the elemnentary row operations (i.e. the Gauss eliminations) to manipulate the equation, we may also apply the QR factorization to the equation to get QRx = b, which implies further QTQRx = QTb. Since QTQ = In, it gives Rx = QTb. Thus, according to the result of(a), when all columns of A are linearly independent, the square matrix R is nonsingular and so the solution x =b is obtained. It seems that we may summarize the above argument as the following statement:Given , where all columns of A are assumed linearly independent, then solution to the equation Ax = o can always be computed from x = , where Q and R are matrices obtained from the @R factorization of A. However, the simple example shows that the summary is incorrect because, according to the summary, the solution is x=  and obviously it does not satisfy the original equation. (b) (5%) What is the error (or are the errors) in the argument right before the summary to make it incorrect?

(c) (8%) What does the obtained solution x = mean? Give your answer necessary explanations.

(a) (6%) Write an equation to indicate the relationship between the two coordinate vectors [L(v)]E and [v]F.

(b) (7%) Obviously, matrix T relates to the two bases E and F. What conclusions about vectors in basis E and/or in basis F can be drawn if the matrix T is known to be diagonal?

111年 - 1102第一次期中考英二英文Lesson 5#110235

111年 - 1102第一次期中考英二英文Lesson 4#110198

111年 - 1102第一次期中考英二英文Lesson 2#110169

111年 - 1102第一次期中考英二英文Lesson 3#110063

110年 - 110 學年度第2 學期 第2 次期中考 <餐旅英文與會話II>#110522

104年 - 104上2高二英文 - 新北市私立及人高中104 上學期高二英文第二次段考(期中考)#51146

104年 - 2015新北市私立及人高中高二104 上學期英文第一次段考(期中考)康軒#51129

104年 - 台中一中 - 104上期考1高二英文#51053

103年 - 103下1高二英文 - 高雄市市立林園高中103 下學期高二英文第一次段考(期中考)(龍騰版)#51602

103年 - 台中一中 - 103學年度第2學期期末考高2英文#51405