Matrix | Matrix -- join matrices horizontally

Matrix | Matrix -- join matrices horizontally

Synopsis:

Operator: | -- a binary operator

Input:

an instance of class Matrix.

Output:

an instance of class Matrix.

f|g -- concatenate matrices horizontally.

It is assumed that f and g both have the same target.

i1 : R = ZZ/101[x,y,z]



o1 = R



o1 : PolynomialRing

i2 : f = matrix {{x,0,0},{0,y,0},{0,0,z}}



o2 = | x 0 0 |

     | 0 y 0 |

     | 0 0 z |



             3       3

o2 : Matrix R  <--- R

i3 : f|f|f



o3 = | x 0 0 x 0 0 x 0 0 |

     | 0 y 0 0 y 0 0 y 0 |

     | 0 0 z 0 0 z 0 0 z |



             3       9

o3 : Matrix R  <--- R

If one of the arguments is ring element or an integer, then it will be multiplied by a suitable identity matrix.

i4 : 2|f|3



o4 = | 2 0 0 x 0 0 3 0 0 |

     | 0 2 0 0 y 0 0 3 0 |

     | 0 0 2 0 0 z 0 0 3 |



             3       9

o4 : Matrix R  <--- R

See also:

Matrix || Matrix -- join matrices vertically

Code:

     -- ../../../Macaulay2/m2/matrix.m2:387
     Matrix | Matrix := Matrix => (f,g) -> concatCols(f,g)