Description
The list
v is either a doubly nested list of ring elements, or a list of elements
(i,j) => f. The first version provides all of the elements of the output matrix, row by row. The second form provides only the non-zero elements of the output matrix
h: h_(i,j) = f, for every
(i,j) => f in the list
v.
The ring elements appearing in
v should be in
R, or in a base ring of
R.
In the first form, each list in v gives a row of the matrix. The length of the list
v should be the number of generators of
M, and the length of each element of
v (which is itself a list of ring elements) should be the number of generators of the source module
N.
i1 : R = ZZ/101[x,y,z];
|
i2 : p = map(R^2,3,{{x^2,0,3},{0,y^2,5}})
o2 = | x2 0 3 |
| 0 y2 5 |
2 3
o2 : Matrix R <-- R
|
i3 : isHomogeneous p
o3 = true
|
In the second form, if an index (i,j) occurs more than once, only the last is taken.
i4 : p = map(R^2,3,{(0,0) => x+y, (1,1) => x^2, (0,2) => x-1, (0,0) => x-y})
o4 = | x-y 0 x-1 |
| 0 x2 0 |
2 3
o4 : Matrix R <-- R
|