Solved

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

Question 15

Multiple Choice

Consider the matrix function A(t) $Consider the matrix function A(t) Compute A) \left[\begin{array}{ll}-2 \cos (2 t) & -5 \sin (5 t) \\ -5 \sin (5 t) & 2 \cos (2 t) \end{array}\right] B) \frac{1}{4 \cos ^{2}(2 t) +25 \sin ^{2}(5 t) }\left[\begin{array}{ll}-2 \cos (2 t) & -5 \sin (5 t) \\ -5 \sin (5 t) & 2 \cos (2 t) \end{array}\right] C) \left[\begin{array}{ccc}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right] D) \frac{1}{4 \cos ^{2}(2 t) +25 \sin ^{2}(5 t) }\left[\begin{array}{ll}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]$ Compute $Consider the matrix function A(t) Compute A) \left[\begin{array}{ll}-2 \cos (2 t) & -5 \sin (5 t) \\ -5 \sin (5 t) & 2 \cos (2 t) \end{array}\right] B) \frac{1}{4 \cos ^{2}(2 t) +25 \sin ^{2}(5 t) }\left[\begin{array}{ll}-2 \cos (2 t) & -5 \sin (5 t) \\ -5 \sin (5 t) & 2 \cos (2 t) \end{array}\right] C) \left[\begin{array}{ccc}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right] D) \frac{1}{4 \cos ^{2}(2 t) +25 \sin ^{2}(5 t) }\left[\begin{array}{ll}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]$

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) $\frac{1}{4 \cos ^{2}(2 t) +25 \sin ^{2}(5 t) }\left[\begin{array}{ll}-2 \cos (2 t) & -5 \sin (5 t) \\ -5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]$
C) $\left[\begin{array}{ccc}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]$
D) $\frac{1}{4 \cos ^{2}(2 t) +25 \sin ^{2}(5 t) }\left[\begin{array}{ll}-2 \cos (2 t) & 5 \sin (5 t) \\ 5 \sin (5 t) & 2 \cos (2 t) \end{array}\right]$