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GATE ECE 2014 Set 4 | Question: 46

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The state transition matrix $\phi(t)$ of a system $\begin{bmatrix} x_1 \\ x_2 \end{bmatrix}  =  \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}  \begin{bmatrix} x_1 \\ x_2 \end{bmatrix}$ is

  1. $\begin{bmatrix} t & 1 \\ 1 & 0 \end{bmatrix} \\$
  2. $\begin{bmatrix} 1 & 0 \\ t & 1 \end{bmatrix} \\$
  3. $\begin{bmatrix} 0 & 1 \\ 1 & t \end{bmatrix} \\$
  4. $\begin{bmatrix} 1 & t \\ 0 & 1 \end{bmatrix}$

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