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The state transition matrix for the system

$\begin{bmatrix} \dot{x_1}\\ \dot{x_2} \end{bmatrix}=\begin{bmatrix} 1 & 0\\ 1 & 1 \end{bmatrix}\begin{bmatrix} x_1\\ x_2 \end{bmatrix}+\begin{bmatrix} 1\\ 1 \end{bmatrix}u$

is

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