Write a computer programme to compute (Phi) and (Gamma) from (A, B), and the sample period (T).

Question:

Write a computer programme to compute \(\Phi\) and \(\Gamma\) from \(A, B\), and the sample period \(T\). Use the programme to compute \(\Phi\) and \(\Gamma\) when

(a)

\[
\mathbf{A}=\left[\begin{array}{cc}
-1 & 0 \\
0 & -2
\end{array}ight], \quad \mathbf{B}=\left[\begin{array}{l}
1 \\
1
\end{array}ight], \quad T=0.2 \mathrm{sec} .
\]

\[
\mathbf{A}=\left[\begin{array}{cc}
-3 & -2  \tag{b}\\
1 & 0
\end{array}ight], \quad \mathbf{B}=\left[\begin{array}{l}
1 \\
0
\end{array}ight], \quad T=0.2 \mathrm{sec} .
\]

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