U:RDoc::AnyMethod[iI"determinant_bareiss:ETI"Matrix#determinant_bareiss;TF:privateo:RDoc::Markup::Document:@parts[o:RDoc::Markup::Paragraph;	[I"$Private. Use Matrix#determinant;To:RDoc::Markup::BlankLineo;
;	[I"2Returns the determinant of the matrix, using ;TI"ABareiss' multistep integer-preserving gaussian elimination. ;TI"WIt has the same computational cost order O(n^3) as standard Gaussian elimination. ;TI"EIntermediate results are fraction free and of lower complexity. ;TI"VA matrix of Integers will have thus intermediate results that are also Integers, ;TI"Nwith smaller bignums (if any), while a matrix of Float will usually have ;TI"0intermediate results with better precision.;T:
@fileI"lib/matrix.rb;T:0@omit_headings_from_table_of_contents_below000[I"();T@FI"Matrix;TcRDoc::NormalClass00