Ruby | Matrix laplace_expansion() function

The laplace_expansion() is an inbuilt method in Ruby returns the laplace_expansion of the given matrix along a given row or column. In other words, it returns the Laplace expansion.

Syntax: mat1.laplace_expansion(row: num or col:num)

Parameters: The function accepts one mandatory parameter row or coloum whose laplace_expansion is returned.



Return Value: It returns the laplace-expansion of the given matrix along the given row or column.

Example 1:

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#Ruby program for laplace_expansion() method in Matrix
  
#Include matrix
require "matrix"
  
#Initialize a matrix
    mat1
    = Matrix[[ 1, 21 ], [ 31, 18 ]]
  
#Prints the value of mat1.laplace_expansion
#first row
      puts mat1.laplace_expansion(row : 1)

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Output:

-633

Example 2:

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#Ruby program for laplace_expansion() method in Matrix
  
#Include matrix
require "matrix"
  
#Initialize a matrix
    mat1
    = Matrix[[ 13, 1, 5 ], [ 12, 1, 5 ], [ 11, 2, 5 ]]
  
#Prints the value of mat1.laplace_expansion
#first row
      puts mat1.laplace_expansion(column : 0)

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Output:

-5


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