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Consider the Matrix Function
A(t) =
Compute (T) [2cos(2t)5sin(5t)5sin(5t)2cos(2t)] \left[\begin{array}{ll}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t)\end{array}\right]

Question 72

Multiple Choice

Consider the matrix function
A(t) =  Consider the matrix function A(t)  =   Compute   (t) . A)    \left[\begin{array}{ll}-2 \cos (2 t)  & 5 \sin (5 t)  \\ 5 \sin (5 t)  & 2 \cos (2 t) \end{array}\right]   B)    \left[\begin{array}{l}2 \cos (2 t) -5 \sin (5 t)  \\ -5 \sin (5 t) -2 \cos (2 t) \end{array}\right]   C)    \left[\begin{array}{ll}\cos (2 t)  & -\sin (5 t)  \\ -\sin (5 t)  & -\cos (2 t) \end{array}\right]   D)    \left[\begin{array}{ll}-\cos (2 t)  & \sin (5 t)  \\ \sin (5 t)  & \cos (2 t) \end{array}\right]
Compute  Consider the matrix function A(t)  =   Compute   (t) . A)    \left[\begin{array}{ll}-2 \cos (2 t)  & 5 \sin (5 t)  \\ 5 \sin (5 t)  & 2 \cos (2 t) \end{array}\right]   B)    \left[\begin{array}{l}2 \cos (2 t) -5 \sin (5 t)  \\ -5 \sin (5 t) -2 \cos (2 t) \end{array}\right]   C)    \left[\begin{array}{ll}\cos (2 t)  & -\sin (5 t)  \\ -\sin (5 t)  & -\cos (2 t) \end{array}\right]   D)    \left[\begin{array}{ll}-\cos (2 t)  & \sin (5 t)  \\ \sin (5 t)  & \cos (2 t) \end{array}\right] (t) .


A) [2cos(2t) 5sin(5t) 5sin(5t) 2cos(2t) ] \left[\begin{array}{ll}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]
B) [2cos(2t) 5sin(5t) 5sin(5t) 2cos(2t) ] \left[\begin{array}{l}2 \cos (2 t) -5 \sin (5 t) \\ -5 \sin (5 t) -2 \cos (2 t) \end{array}\right]
C) [cos(2t) sin(5t) sin(5t) cos(2t) ] \left[\begin{array}{ll}\cos (2 t) & -\sin (5 t) \\ -\sin (5 t) & -\cos (2 t) \end{array}\right]
D) [cos(2t) sin(5t) sin(5t) cos(2t) ] \left[\begin{array}{ll}-\cos (2 t) & \sin (5 t) \\ \sin (5 t) & \cos (2 t) \end{array}\right]

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