Multiple choice

If A = $ x = \left[ \begin{array} \ -2 & 2 \\ 1 & -3 \end{array} \right] $, then sin At is

  1. $\dfrac{1}{3}$$ x = \left[ \begin{array} \ sin(-4t) + 2sin(-t) - 2sin(-4t) + 2sin(-t) \\\\ -sin(-4t) + sin(-t)2sin(-4t) + sin(-t) \end{array} \right] $
  2. $\left[ \begin{array} \ sin(-2t) sin(2t) \\\\ sin(t) sin(-3t) \end{array} \right]$
  3. $\dfrac{1}{3}$$ x = \left[ \begin{array} \ sin(4t) + 2sin(t) 2sin(-4t) - 2sin(-t) \\\\ -sin(-4t) + sin(t)2sin(4t) + sin(t) \end{array} \right] $
  4. $\dfrac{1}{3}$$ x = \left[ \begin{array} \ cos(-t) + 2cos(t) 2cos(-4t) + 2cos(-t) \\\\ -cos(-4t) + cos(-t)-2cos(-4t) + cos(-t) \end{array} \right] $
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Explanation