Answer the Following Questions:
1) Explain the function of each f the following commands in MATLAB:
a) Det, meshgrid, char, load, while, image and hold on/off.
b) Plotyy, subplot, inv, angle(x), ode23, ode45, and ode113.
2) a) Find all eigenvalues and eigenvectors of the following matrix.
\begin{bmatrix}
4 & -3 & 3 & -9 \\
-3 & 6 & -3 & 11 \\
0 & 8 & -5 & 8 \\
3 & -3 & 3 & -8
\end{bmatrix}
b) Solve the following differenationl equations used M files and Simulink. (hint do the
mathematical analysis need for Simulink.
i) $\frac{d^2y}{dt^2} + \frac{dy}{dt} + y = -10$
ii) $4(\frac{d^2y}{dt^3}) + 8(\frac{d^2y}{dt^2}) + 16(\frac{dy}{dt}) + 20y - 20 u(t)$
c) Drive the model equation for the system represented by the block diagram shown in
Figure.
3) a) Based on MATLAB Simulink or M-file, design a model for Torque speed characteristic
of Induction generator. (Assume any missing data)
b) Find the output of the full and half wave uncontrolled rectifier circuits based on
MATLAB Simulink or M-file.
