I want to know which projects of vector spaces are currently available to 
work on. I am interested in vector spaces, basis and dimensions, change of 
basis and etc. I was going to suggest a new project idea about matrices 
also. 

In matrices I wanted to implement

   - Gauss elimination
   - Gauss Jordan method
   - Ranks and echelon forms 
   - Linearity 
   - Addition, Multiplication and Inversion of matrices
   - Linear equations with matrices

I looked at matrices folder in sympy. I didn't find any major stuff there. 
So I think all this has not been implemented anytime.

My area of interest is major towards vectors and vector spaces (though 
above things were my suggestions and I would definitely want to work on 
them too). So if any interesting projects are running on these topics, 
please inform me and guide me to contribute. 

I have university level education and understanding of vector spaces and 
matrices. 

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