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| 2017-04-21 05:36:18 +0200 | commented answer | Jacobian matrix rank I would like to compute rank over the field of rationals. That is if there are rational numbers a,b and c such that a diff(p,x) + b diff(p,y) + c diff(p,z) =0 but a,b,c non zero then rank should be 3. What is the way to code this ? |
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| 2017-04-20 21:06:36 +0200 | asked a question | Jacobian matrix rank Consider the following code : R.<x,y,z> = QQ[]; p=(x-y)(y-z)(x-z); J = matrix(R,[[x-y],[y]]); J.rank(); The answer displayed is 1. This is the rank over the polynomia ring I suppose. I would like to compute rank over the field of rationals. That is if there are rational numbers a,b and c such that a diff(p,x) + b diff(p,y) + c diff(p,z) =0 but a,b,c non zero then rank should be 3. What is the way to do it ? |
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