I recall a reference of this that even allows parameters in the matrix:
https://zbmath.org/1097.15006

On Thursday, March 24, 2016 at 6:13:30 PM UTC, Jeroen Demeyer wrote:
>
> On 2016-03-24 18:27, Michael Orlitzky wrote: 
> > On 03/24/2016 10:44 AM, Jeroen Demeyer wrote: 
> >> Does anybody know of an implementation of the Moore–Penrose 
> >> pseudoinverse (a generalised inverse for matrices) in Sage? I couldn't 
> >> find anything, but just in case I RTFM badly or it's known under some 
> >> different name, I ask here. 
> >> 
> > 
> > I looked once but didn't find anything. We're missing the SVD for rings 
> > like RR, or it would be easy to fix. 
>
> I want the pseudo-inverse over any base field. There is no reason to 
> restrict to RR. The SVD on the other hand is not defined over any field. 
>
> Anyway, I need the pseudo-inverse, so I'll have to implement it myself. 
>

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