红宝石 |矩阵特征系统（）函数

eigensystem()是 Ruby 中的一个内置方法，它返回矩阵的特征系统。

Syntax: mat1.eigensystem()

Parameters: The function does not accepts any parameter.

Return Value: It returns the Eigensystem of the matrix.

示例 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()

输出：

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]]

示例 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()

输出：

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]]