#Ruby program for lup() method in Matrix
  
#Include matrix
require "matrix"
  
#Initialize a matrix
    mat1
    = Matrix[[ 1, 21 ], [ 31, 18 ]]
  
#Prints the decomposition
      puts mat1.lup()

Matrix[[1, 0], [1/31, 1]]
Matrix[[31, 18], [0, 633/31]]
Matrix[[0, 1], [1, 0]]

#Ruby program for lup() method in Matrix
  
#Include matrix
require "matrix"
  
#Initialize a matrix
    mat1
    = Matrix[[ 1, 0, 0 ], [ 2, 3, 0 ], [ 31, 18, 19 ]]
  
#Prints the decomposition
      puts mat1.lup()

Matrix[[1, 0, 0], [2/31, 1, 0], [1/31, -6/19, 1]]
Matrix[[31, 18, 19], [0, 57/31, -38/31], [0, 0, -1/1]]
Matrix[[0, 0, 1], [0, 1, 0], [1, 0, 0]]