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minors(..., First => ...) -- set the first minor to compute

First => {rows, columns} -- set the first minor to compute

Minors are generated in the same order as that used by subsets(ZZ,ZZ). See minors(ZZ,Matrix).

i1 : R = ZZ[a..f];
i2 : M = matrix{{a,b,c},{d,e,f}}

o2 = | a b c |
     | d e f |

             2       3
o2 : Matrix R  <--- R
i3 : minors(2,M,First=>{{0,1},{0,2}})

o3 = ideal (- c*d + a*f, - c*e + b*f)

o3 : Ideal of R
i4 : minors(2,M,First=>{{0,1},{0,2}},Limit=>1)

o4 = ideal(- c*d + a*f)

o4 : Ideal of R

See also:

  • determinants
  • minors -- ideal generated by minors
  • minors(..., Limit => ...) -- specify how many to compute
  • See also:

  • Default value: null -- nothingness
  • Function: minors -- ideal generated by minors
  • Option name: First

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