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Electronics and Communication Control Systems Difficulty: Medium

Consider the system \[\frac{{dx}}{{dt}} = Ax + Bu\] with \[A = \left[ {\begin{array}{*{20}{c}} 1&0\\ 0&1 \end{array}} \right]\] and \[B = \left[ \begin{array}{l} p\\ q \end{array} \right]\] where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?

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