46. The state transition matrix φ(t) of a system \( \begin{bmatrix}\dot x_1\\\dot x_2\end{bmatrix} = \begin{bmatrix}0&1\\0&0\end{bmatrix} \begin{bmatrix}x_1\\ x_2\end{bmatrix}\)

(A) \(\begin{bmatrix}t&1\\1&0\end{bmatrix}\)

(B) \(\begin{bmatrix}1&0\\t&1\end{bmatrix}\)

(C) \(\begin{bmatrix}0&1\\1&t\end{bmatrix}\)

(D) \(\begin{bmatrix}1&t\\0&1\end{bmatrix}\)


Answer-(D) \(\begin{bmatrix}1&t\\0&1\end{bmatrix}\)
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