110年 - 110 國立中山大學碩士暨碩士專班招生考試_資工系碩士班/乙組:工程數學#104267

1. (15%) The following matrix describes a system of linear equations in five unknowns: v, w, X, y, z.What is the general solution to this system?

2.2 (5%) Find the eigenvalues for A.

3. (20%) Find the impulse and step responses of a system with transfer function.

4.2 (5%) Using the result from part 4. 1, draw a plot of x(t) over the range of -8 ≤ t≤ 8 seconds.

4.3 (5%) Determine the DC value of x(t).

5.(20%) Find a particular solution of