Ruby | Matrix eigen() function
Last Updated :
07 Jan, 2020
The eigen() is an inbuilt method in Ruby returns the Eigensystem of the matrix.
Syntax: mat1.eigen()
Parameters: The function does not accepts any parameter.
Return Value: It returns the Eigensystem of the matrix.
Example 1:
require "matrix"
mat1 = Matrix[[ 1 , 0 ], [ 0 , 2 ]]
puts mat1.eigen()
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Output:
Matrix[[1.0, 0.0], [0.0, 1.0]]
Matrix[[1.0, 0], [0, 2.0]]
Matrix[[1.0, 0.0], [0.0, 1.0]]
Example 2:
require "matrix"
mat1 = Matrix[[ 1 , 1 , 5 ], [ 4 , 1 , 5 ], [ 11 , 2 , 12 ]]
puts mat1.eigen()
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Output:
Matrix[[0.3051508362231803, 0.8432205915902499, -0.04211389264475984], [0.36021591185448126, -0.07469426749056905, -1.0068644256268935], [0.881548333331269, -0.6184679554209885, 0.20869263449203795]]
Matrix[[16.624920572145022, 0, 0], [0, -2.7558784453101666, 0], [0, 0, 0.13095787316514576]]
Matrix[[0.6383015261676529, 0.14992783363808046, 0.8521544829905635], [0.9627740639327973, -0.10080816379994396, -0.2920754272026449], [0.15693539149903699, -0.9320657209209471, 0.3265344924799822]]
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