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2016-05-03 22:19:53 +0200	asked a question	Help with matrices over multivariable polynomial ring I want to work with matrices over a multivariable polynomial ring. I want the matrix [x0^2,x1^2,x2^2] [x0^4,x1^4,x2^4] [x0^8,x1^8,x2^8] so I can take the determinate of it. I have R = PolynomialRing(GF(2), 3, 'x') which is a "Multivariate Polynomial Ring in x0, x1, x2 over Finite Field of size 2". I try M = MatrixSpace(R,3,3,sparse=True) which is the "Full MatrixSpace of 3 by 3 sparse matrices over Multivariate Polynomial Ring in x0, x1, x2 over Finite Field of size 2". I am not even sure what "sparse" is. Then I try A = M([x0^2,x1^2,x2^2, x0^4,x1^4,x2^4, x0^8,x1^8,x2^8]) or A = M([[x0^2,x1^2,x2^2], [x0^4,x1^4,x2^4], [x0^8,x1^8,x2^8]]) And it says "name 'x0' is not defined" I have looked for examples in the Sage documentation, but I just can get Sage to make the matrix above. Eventually, I want to do arbitrate number of variables and arbitrary n-by-n matrices. Thank you for your help.
2016-05-03 22:19:53 +0200	asked a question	Help with matrix defining over a polynomial ring I want to work with matrices over a multivariable polynomial ring. I want the matrix [x0^2,x1^2,x2^2] [x0^4,x1^4,x2^4] [x0^8,x1^8,x2^8] so I can take the determinate of it. I have R = PolynomialRing(GF(2), 3, 'x') which is a "Multivariate Polynomial Ring in x0, x1, x2 over Finite Field of size 2". I try M = MatrixSpace(R,3,3,sparse=True) which is the "Full MatrixSpace of 3 by 3 sparse matrices over Multivariate Polynomial Ring in x0, x1, x2 over Finite Field of size 2". I am not even sure what "sparse" is. Then I try A = M([x0^2,x1^2,x2^2, x0^4,x1^4,x2^4, x0^8,x1^8,x2^8]) or A = M([[x0^2,x1^2,x2^2], [x0^4,x1^4,x2^4], [x0^8,x1^8,x2^8]]) And it says "name 'x0' is not defined" I have looked for examples in the Sage documentation, but I just can get Sage to make the matrix above. Eventually, I want to do arbitrate number of variables and arbitrary n-by-n matrices. Thank you for your help.