If \[ A=\left[\begin{array}{ccc} e^{t} & e^{-t} \cos t & e^{-t} \sin t \\ e^{t} & -e^{-t} \cos t...
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If
\[
A=\left[\begin{array}{ccc}
e^{t} & e^{-t} \cos t & e^{-t} \sin t \\
e^{t} & -e^{-t} \cos t-e^{-t} \sin t & -e^{-t} \sin t+e^{-t} \cos t \\
e^{t} & 2 e^{-t} \sin t & -2 e^{-t} \cos t
\end{array}\right]
\]
then \( A \) is :
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