Matrix | Matrix -- join matrices horizontally

Synopsis

• Operator: |

• Usage:

  f = g | h

• Inputs:
  • g, a matrix, a m by n matrix
  • h, a matrix, a m by r matrix
• Outputs:
  • f, a matrix, the m by n+r matrix, obtained from matrices g and h by concatenating the rows

Description

i1 : R = ZZ[i..p];

i2 : g = matrix {{i,j},{k,l}}

o2 = | i j |
     | k l |

             2       2
o2 : Matrix R  <--- R

i3 : h = matrix {{m,n},{o,p}}

o3 = | m n |
     | o p |

             2       2
o3 : Matrix R  <--- R

i4 : f= g | h

o4 = | i j m n |
     | k l o p |

             2       4
o4 : Matrix R  <--- R

i5 : f | (m-n)

o5 = | i j m n m-n 0   |
     | k l o p 0   m-n |

             2       6
o5 : Matrix R  <--- R

Caveat

See also

• Matrix || Matrix -- join matrices vertically
• ring(Matrix) -- get the associated ring of an object