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

Classic > matrix(String)

matrix(String) -- make a matrix using classic Macaulay syntax

Synopsis

Usage:
matrix s
Function: matrix
Inputs:
- s, a string, in the form: "f1,f2,...,fr;g1,...,gr;...;h1,...,hr"
Outputs:
- a matrix
Optional inputs:
- Degree => ..., -- not really an option?
- DegreeMap => ..., -- not really an option

Description

Creates a matrix using an abbreviated format. Each polynomial has the form described in Classic. The rows of the matrix are separated by semicolons, and within each row, the polynomials are separated by commas. Any entry which is missing is assumed to be 0. Spaces and newline characters are ignored.

i1 : R = ZZ/32003[a..d,x_1..x_4];

i2 : N = matrix "a,b,c,d;x[1],x[2],x[3],x[4]"

o2 = | a   b   c   d   |
     | x_1 x_2 x_3 x_4 |

             2       4
o2 : Matrix R  <--- R

i3 : M = matrix "ad-2c3,(a-b)2+1,ab;,abc-1,"

o3 = | -2c3+ad a2-2ab+b2+1 ab |
     | 0       abc-1       0  |

             2       3
o3 : Matrix R  <--- R

See also

poly(String) -- make a polynomial using classic Macaulay syntax
ideal(String) -- make an ideal using classic Macaulay syntax