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genericMatrix -- make a generic matrix of variables

Synopsis

Usage:
genericMatrix(R,r,m,n)
Inputs:
- R, a ring
- r, a ring element, which is a variable in the ring R (this input is optional)
- m, an integer
- n, an integer
Outputs:
- a matrix, with m rows and n columns whose entries are variables in the ring R starting with r

Description

i1 : R = ZZ[a..z];

i2 : genericMatrix(R,a,2,4)

o2 = | a c e g |
     | b d f h |

             2       4
o2 : Matrix R  <--- R

i3 : genericMatrix(R,i,3,2)

o3 = | i l |
     | j m |
     | k n |

             3       2
o3 : Matrix R  <--- R

Omitting the input r is the same as having r be the first variable in R.

i4 : genericMatrix(R,2,4)

o4 = | a c e g |
     | b d f h |

             2       4
o4 : Matrix R  <--- R

i5 : genericMatrix(R,3,2)

o5 = | a d |
     | b e |
     | c f |

             3       2
o5 : Matrix R  <--- R

See also

vars(Ring) -- row matrix of the variables
genericSkewMatrix -- make a generic skew symmetric matrix of variables
genericSymmetricMatrix -- make a generic symmetric matrix

Ways to use `genericMatrix` :

genericMatrix(Ring,RingElement,ZZ,ZZ)
genericMatrix(Ring,ZZ,ZZ)