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Macaulay2Doc :: determinant

determinant -- determinant of a matrix

Synopsis

Description

i1 : R = QQ[vars(0..8)]

o1 = R

o1 : PolynomialRing
i2 : M = genericMatrix(R,2,2)

o2 = | a c |
     | b d |

             2       2
o2 : Matrix R  <--- R
i3 : det M

o3 = - b*c + a*d

o3 : R
i4 : N = genericMatrix(R,3,3)

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

             3       3
o4 : Matrix R  <--- R
i5 : det N

o5 = - c*e*g + b*f*g + c*d*h - a*f*h - b*d*i + a*e*i

o5 : R

See also

Ways to use determinant :