Solved

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

Question 14

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) $\left[\begin{array}{ll}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]$
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) $\left[\begin{array}{ll}-\cos (2 t) & \sin (5 t) \\ \sin (5 t) & \cos (2 t) \end{array}\right]$