Hi,

I need to perform a Smith decomposition on (a priori not square) matrices 
to find a certain change of basis related to the Smith invariants. 

The Smith normal form <https://en.wikipedia.org/wiki/Smith_normal_form> is 
already implemented in SymPy in `sympy.matrices.normalforms`, but it 
returns only the Smith normal form, not its decomposition itself. 

In general, the Smith decomposition of a matrix A is defined in terms of 
three matrices V, D, W so that 

A = V * D * W

where V,W are both square, invertible, and integer-valued matrices. Is 
there any way of obtaining those matrices without reimplementing the 
algorithm myself? I assume that these matrices are computed at least 
implicitely, but I could not find a way of returning them.

thanks!

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