The (i,j)-th element of the Jacobian matrix is defined as the derivative of i-th function with respect to the j-th indeterminate.
jacobian(f, indets) --
where f (polynomials) and indets (indeterminates) are
vectors of RingElem, all belonging to the same PolyRing.
Throws if both f and indets are empty
(cannot determine the ring for constructing the 0x0 matrix).
| a_11 B | a_12 B | ... | a_1c B |
| a_21 B | a_22 B | ... | a_2c B |
| ... | |||
| a_r1 B | a_r2 B | ... | a_rc B |
TensorMat(A, B) --
where A and B are matrices with the same BaseRing.
RandomUnimodularMat(R,n,niters) creates a random unimodular matrix with integer entries; last arg niters is optional (it defaults to 25*n)
Many special matrices are not yet implemented: (from the source file)
2016
RandomUnimodularMat
2011
jacobian)
TensorMat