leadComponent -- the leading component(s) of a vector or matrix

Synopsis

• Usage:

  leadComponent v

• Inputs:
  • v, a vector, or Matrix
• Outputs:
  • an integer, or List of integers, the largest index of a nonzero element of v

Description

i1 : leadComponent vector{0,0,1,0,1}

o1 = 4

i2 : leadComponent vector{0,0,1,2,3,4,0}

o2 = 5

i3 : leadComponent matrix{{0,0,1}, {0,1,0}, {1,0,0}}

o3 = {2, 1, 0}

o3 : List

i4 : R = ZZ/5[a,b,c]; leadComponent vector{a*b^2,3*b*c^3,0}

o5 = 1

See also

• leadCoefficient -- the coefficient of the leading term
• leadMonomial -- the leading monomial of a ring element
• leadTerm -- get the greatest term
• position -- the first element of a list satisfying a condition
• positions -- which elements of a list satisfy a condition
• select -- select from a list, hash table, or string
• support -- list of variables occurring in a polynomial or matrix