阿摩線上測驗登入

首頁 > 研究所、轉學考(插大)◆數學分析 > 110年 - 110 國立清華大學碩士班考試入學試題_計算與建模科學研究所:數學分析#105592 > 申論題

5.(8分)Calculate
where C is the path enclosing the annular region R shown in Figure 1.

相關申論題

(i) (10 分) Show that the Taylor series of f(x) at x = 0 is

(ii) (8 分) By integrating f(-x2) over a suitable region and using the formula of verify the value of Here you need only calculate it without the rigorous analysis.

(iii) (8 分) Let Find a matrix B such that = I + A. Hint: (i) is a key for obtaining a B, where you shall notice16 = 24.

7. (8 分) Show that the area of a triangle with the vertices (x1,y1), (x2,y2),and (X3,y3) is where0＜x1＜x3

(i) (8 分) If S =[v1, v2,...,vn} is an orthogonal set of nonzero vectors in V, then S is linearly independent.

(ii) (8 分) If B = is an orthonormal basis for V, then the coordinate representation of a vector w relative to B is w =(w,น1)u1 + (w,u2)u2 +...+(w,un)un.

(i) (8 分) Find the eigenvalues and corresponding eigenvectors of A.

(ii) (8 分) Find A8.

(i) (8分)ρ(AB) ≤ρ(A)p(B).

(i)(8分)p(A+B) ≤P(A)+p(B).

相關試卷

110年 - 110 國立清華大學碩士班考試入學試題_計算與建模科學研究所:數學分析#105592

110年 · #105592

阿摩線上測驗

提供最完整的考試資料庫，包含歷年試題、詳解、申論題等學習資源，
幫助學生有效準備各類考試。

最新資料

© 2008-2026 Yamol Tech Ltd. All Rights Reserved.
阿摩線上測驗--最強大的互動線上測驗版權所有

如有任何問題或建議，歡迎聯繫我們