El eigensystem() es un método incorporado en Ruby que devuelve el Eigensystem de la array.
Sintaxis : mat1.eigensystem()
Parámetros : La función no acepta ningún parámetro.
Valor devuelto: Devuelve el sistema propio de la array.
Ejemplo 1 :
# Ruby program for eigensystem() method in Matrix # Include matrix require "matrix" # Initialize a matrix mat1 = Matrix[[1, 0], [0, 2]] # prints the eigensystem puts mat1.eigensystem()
Salida :
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]]
Ejemplo 2 :
# Ruby program for eigensystem() method in Matrix # Include matrix require "matrix" # Initialize a matrix mat1 = Matrix[[1, 1, 5], [4, 1, 5], [11, 2, 12]] # prints the eigensystem puts mat1.eigensystem()
Salida :
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]]