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Matrix to position/heading

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Hi. I have a 4x4 Matrix (Left-handed, D3D) from which I need a position vector and a heading vector. The Position (x,y,z) = Matrix._41, Matrix._42, Matrix._43 But how do I calculate a heading vector?

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I suppose this is the solution (I am not sure):

The 4x4 matrix is a 3x3 matrix + some movement information in the 4th colum.
The 3x3 matrix contains the new coordinates of the x-axis, the y-axis and the z-axis. I suppose your heading vector is equal to the z-axis of the new coordinate system, wich you can find in the 3x3 matrix.

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