Is it possible to move and rotate a model in 3d view and get the transformtion matrix?

If I understand correctly what you’d like to do, here are the steps:

  1. Turn on interactive transform for the model in the Data module (right click the eye not the name)
    image

  2. Transform the model using the controls

  3. See the matrix in the Transforms module
    image

You’ll need a recent 5.7 preview version to be able to access the new transform interactions.