next | previous | forward | backward | up | top | index | toc | home

map > map(Module,Nothing,Matrix)

map(Module,Nothing,Matrix) -- recast a matrix to have a new target, and a free module as source

Synopsis

Usage:
map(M,,f)
Function: map
Inputs:
- M, a module
- f, a matrix, whose target has the same number of generators as M
Outputs:
- a matrix, A map with a free source module, and target M, whose entries are those of f.
Optional inputs:
- Degree => ..., -- set the degree of a map
- DegreeMap => ...,

Description

i1 : R = ZZ/101[x,y];

i2 : p = matrix{{x,y}}

o2 = | x y |

             1       2
o2 : Matrix R  <--- R

i3 : q = map(R^{3},,p)

o3 = {-3} | x y |

             1       2
o3 : Matrix R  <--- R

i4 : degrees target q

o4 = {{-3}}

o4 : List

i5 : degrees source q

o5 = {{-2}, {-2}}

o5 : List

See also

matrix -- make a matrix