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I'm studying this for my computer graphics course under the topic of affine transformations but I've searched everywhere and I don't get how to do this

Given the transformation matrix:

$$ M = \begin{pmatrix} 3.4641016 & \!\!\!\!\!\!\!\!\!\!\!\!\!-1 & 2\ \\ 2 & \!\!\!\!\!\!\!\! 1.7320508 & 5 \ \\ 0 & \!\!\!\!\!\!\!\!\!\!\!\!\! 0 & 1\ \end{pmatrix} $$

  1. Show that this matrix has a rotation transform and find the rotation angle. (2 points)
  2. Show that this matrix has a scale transform and find the scaling components in $x$ and $y$ directions. (2 points)
  3. Show that this matrix has a translation transform. Find the translation components in $x$ and $y$ directions. (2 points)
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    $\begingroup$ Thank you for posting your homework. We are more interested to know what you have tried and where you are stuck. $\endgroup$ – Yves Daoust May 13 at 18:10

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