110年 - 110 國立中央大學_碩士班招生考試_電機工程學系：工程數學#103875

(a) Find (10%)

(b) Find a basis for the null space of T(10%)

(a) Compute the rank of A (10%)

3. Solve the following initial value problem (Show the details of your work) (20%)

4. Find the Laplace transform of the following periodic function (Show the details of your work) (20%)

(a) Please find the Fourier transform of the f(t) signal given below. (10%)

(b) Derive the Fourier transform of the u(t) signal as shown in Figure 1. (10%)