U:RDoc::AnyMethod[iI"eigensystem:ETI"Matrix#eigensystem;TF:publico:RDoc::Markup::Document:@parts[o:RDoc::Markup::Paragraph;	[I"JReturns the Eigensystem of the matrix; see +EigenvalueDecomposition+.;To:RDoc::Markup::Verbatim;	[
I" m = Matrix[[1, 2], [3, 4]]
;TI"!v, d, v_inv = m.eigensystem
;TI"d.diagonal? # => true
;TI"v.inv == v_inv # => true
;TI",(v * d * v_inv).round(5) == m # => true;T:@format0:
@fileI"lib/matrix.rb;T:0@omit_headings_from_table_of_contents_below000[[I"
eigen;To;;	[;
@;0I"();T@FI"Matrix;TcRDoc::NormalClass00