U:RDoc::AnyMethod[iI"lup:ETI"Matrix#lup;TF:publico:RDoc::Markup::Document:@parts[o:RDoc::Markup::Paragraph;	[I"IReturns the LUP decomposition of the matrix; see +LUPDecomposition+.;To:RDoc::Markup::Verbatim;	[I" a = Matrix[[1, 2], [3, 4]]
;TI"l, u, p = a.lup
;TI"#l.lower_triangular? # => true
;TI"#u.upper_triangular? # => true
;TI"#p.permutation?      # => true
;TI"#l * u == p * a      # => true
;TI"2a.lup.solve([2, 5]) # => Vector[(1/1), (1/2)];T:@format0:
@fileI"lib/matrix.rb;T:0@omit_headings_from_table_of_contents_below000[[I"lup_decomposition;To;;	[;
@;0I"();T@FI"Matrix;TcRDoc::NormalClass00