阿摩線上測驗
登入
首頁
>
研究所、轉學考(插大)-應用數學
>
99年 - 99 淡江大學 轉學考 應用數學#55470
>
4. Show that the sum of the square of the matrix elements is invariant under orthogonal similarity transformation. (15 points)
其他申論題
(b) Evaluate = ? for n = l,2, and 3 .
#208741
1. Show that approaches to (10 points)
#208742
2. Write down the definition of Levi-Civita symbol εijk and show that (10 points)
#208743
3. Evaluate the area enclosed by a simply connected curve C : x2/3 + y2/3 = 4 in the x-y plane. (15 points)
#208744
5. GivenA =，and/(A) = A3 -2A2 +5A-3, find f(A). (20 points) Note: Evaluating each term in f (A) separately and then adding it up are not credited.
#208746
6. Solve the following 2nd-order ordinary differential equation. (15 points) y" + 2y' + y = 4e-x.
#208747
7. Evaluate . (15 points)
#208748
3. Prove or disprove: If (mod 4), where a and b are integers, then (mod 4). (12 pts)
#208749
4. Find the smallest equivalence relation on {1,2,3} that contains (1,2). (12 pts) Justify your answer.
#208750
5. How many nonnegative integer solutions are there to the equation x1 x2 + x3 + x4 = 21 such that (12 pts) Show enough work to get full credits.
#208751
阿摩線上測驗
登入