Viewing File: /opt/cpanel/ea-ruby24/root/usr/share/ri/system/Matrix/cdesc-Matrix.ri

U:RDoc::NormalClass[iI"Matrix:ET@I"Object;To:RDoc::Markup::Document:@parts[o;;[o:RDoc::Markup::Paragraph;[I"[The +Matrix+ class represents a mathematical matrix. It provides methods for creating ;TI"Cmatrices, operating on them arithmetically and algebraically, ;TI"Wand determining their mathematical properties (trace, rank, inverse, determinant).;To:RDoc::Markup::BlankLineS:RDoc::Markup::Heading:
leveli:	textI"Method Catalogue;T@o;	;[I"To create a matrix:;To:RDoc::Markup::List:
@type:BULLET:@items[o:RDoc::Markup::ListItem:@label0;[o;	;[I"Matrix[*rows];To;;0;[o;	;[I"Matrix.[](*rows);To;;0;[o;	;[I"#Matrix.rows(rows, copy = true);To;;0;[o;	;[I"Matrix.columns(columns);To;;0;[o;	;[I"2Matrix.build(row_count, column_count, &block);To;;0;[o;	;[I"Matrix.diagonal(*values);To;;0;[o;	;[I"Matrix.scalar(n, value);To;;0;[o;	;[I"Matrix.identity(n);To;;0;[o;	;[I"Matrix.unit(n);To;;0;[o;	;[I"Matrix.I(n);To;;0;[o;	;[I"Matrix.zero(n);To;;0;[o;	;[I"Matrix.row_vector(row);To;;0;[o;	;[I"!Matrix.column_vector(column);To;;0;[o;	;[I"*Matrix.empty(row_count, column_count);To;;0;[o;	;[I"Matrix.hstack(*matrices);To;;0;[o;	;[I"Matrix.vstack(*matrices);T@o;	;[I"CTo access Matrix elements/columns/rows/submatrices/properties:;To;;;;[o;;0;[o;	;[I"#[](i, j);To;;0;[o;	;[I"#row_count (row_size);To;;0;[o;	;[I" #column_count (column_size);To;;0;[o;	;[I"#row(i);To;;0;[o;	;[I"#column(j);To;;0;[o;	;[I"
#collect;To;;0;[o;	;[I"	#map;To;;0;[o;	;[I"
#each;To;;0;[o;	;[I"#each_with_index;To;;0;[o;	;[I"#find_index;To;;0;[o;	;[I"#minor(*param);To;;0;[o;	;[I"#first_minor(row, column);To;;0;[o;	;[I"#cofactor(row, column);To;;0;[o;	;[I"#adjugate;To;;0;[o;	;[I"+#laplace_expansion(row_or_column: num);To;;0;[o;	;[I",#cofactor_expansion(row_or_column: num);T@o;	;[I"Properties of a matrix:;To;;;;[o;;0;[o;	;[I"#diagonal?;To;;0;[o;	;[I"#empty?;To;;0;[o;	;[I"#hermitian?;To;;0;[o;	;[I"#lower_triangular?;To;;0;[o;	;[I"
#normal?;To;;0;[o;	;[I"#orthogonal?;To;;0;[o;	;[I"#permutation?;To;;0;[o;	;[I"#real?;To;;0;[o;	;[I"#regular?;To;;0;[o;	;[I"#singular?;To;;0;[o;	;[I"
#square?;To;;0;[o;	;[I"#symmetric?;To;;0;[o;	;[I"#unitary?;To;;0;[o;	;[I"#upper_triangular?;To;;0;[o;	;[I"#zero?;T@o;	;[I"Matrix arithmetic:;To;;;;[o;;0;[o;	;[I"
#*(m);To;;0;[o;	;[I"
#+(m);To;;0;[o;	;[I"
#-(m);To;;0;[o;	;[I"
#/(m);To;;0;[o;	;[I"
#inverse;To;;0;[o;	;[I"	#inv;To;;0;[o;	;[I"#**;To;;0;[o;	;[I"#+@;To;;0;[o;	;[I"#-@;T@o;	;[I"Matrix functions:;To;;;;[o;;0;[o;	;[I"#determinant;To;;0;[o;	;[I"	#det;To;;0;[o;	;[I"#hstack(*matrices);To;;0;[o;	;[I"
#rank;To;;0;[o;	;[I"#round;To;;0;[o;	;[I"#trace;To;;0;[o;	;[I"#tr;To;;0;[o;	;[I"#transpose;To;;0;[o;	;[I"#t;To;;0;[o;	;[I"#vstack(*matrices);T@o;	;[I"Matrix decompositions:;To;;;;[	o;;0;[o;	;[I"#eigen;To;;0;[o;	;[I"#eigensystem;To;;0;[o;	;[I"	#lup;To;;0;[o;	;[I"#lup_decomposition;T@o;	;[I"Complex arithmetic:;To;;;;[o;;0;[o;	;[I"	conj;To;;0;[o;	;[I"conjugate;To;;0;[o;	;[I"	imag;To;;0;[o;	;[I"imaginary;To;;0;[o;	;[I"	real;To;;0;[o;	;[I"	rect;To;;0;[o;	;[I"rectangular;T@o;	;[I"$Conversion to other data types:;To;;;;[	o;;0;[o;	;[I"#coerce(other);To;;0;[o;	;[I"#row_vectors;To;;0;[o;	;[I"#column_vectors;To;;0;[o;	;[I"
#to_a;T@o;	;[I"String representations:;To;;;;[o;;0;[o;	;[I"
#to_s;To;;0;[o;	;[I"
#inspect;T:
@fileI"lib/matrix.rb;T:0@omit_headings_from_table_of_contents_below0o;;[;I"+lib/matrix/eigenvalue_decomposition.rb;T;0o;;[;I"$lib/matrix/lup_decomposition.rb;T;0;0;0[[
I"column_count;TI"R;T:publicFI"lib/matrix.rb;T[
I"column_size;T@æ
;F@ç
[
I"	rows;TI"R;T:protectedF@ç
[U:RDoc::Constant[iI"SELECTORS;FI"Matrix::SELECTORS;T00o;;[;@Ü
;0@Ü
@cRDoc::NormalClass0[[I"Enumerable;To;;[;@Ü
;0@ç
[[I"
class;T[[;[[I"I;F@ç
[I"[];F@ç
[I"
build;F@ç
[I"column_vector;F@ç
[I"columns;F@ç
[I"
diagonal;F@ç
[I"
empty;F@ç
[I"hstack;F@ç
[I"
identity;F@ç
[I"new;T@ç
[I"row_vector;F@ç
[I"	rows;F@ç
[I"scalar;F@ç
[I"	unit;F@ç
[I"vstack;F@ç
[I"	zero;F@ç
[;[[:private[[I"
instance;T[[;[U[I"*;T@ç
[I"**;T@ç
[I"+;T@ç
[I"+@;T@ç
[I"-;T@ç
[I"-@;T@ç
[I"/;F@ç
[I"==;T@ç
[I"[];F@ç
[I"
adjugate;F@ç
[I"
clone;F@ç
[I"coerce;F@ç
[I"
cofactor;F@ç
[I"cofactor_expansion;T@ç
[I"collect;F@ç
[I"column;F@ç
[I"column_vectors;F@ç
[I"component;F@ç
[I"	conj;F@ç
[I"conjugate;F@ç
[I"det;T@ç
[I"
det_e;F@ç
[I"determinant;F@ç
[I"determinant_e;F@ç
[I"diagonal?;F@ç
[I"	each;F@ç
[I"each_with_index;F@ç
[I"
eigen;F@ç
[I"eigensystem;F@ç
[I"element;F@ç
[I"elements_to_f;F@ç
[I"elements_to_i;F@ç
[I"elements_to_r;F@ç
[I"empty?;F@ç
[I"	eql?;F@ç
[I"find_index;T@ç
[I"first_minor;F@ç
[I"	hash;F@ç
[I"hermitian?;F@ç
[I"hstack;F@ç
[I"	imag;F@ç
[I"imaginary;F@ç
[I"
index;F@ç
[I"inspect;F@ç
[I"inv;F@ç
[I"inverse;F@ç
[I"laplace_expansion;F@ç
[I"lower_triangular?;F@ç
[I"lup;F@ç
[I"lup_decomposition;F@ç
[I"map;F@ç
[I"
minor;F@ç
[I"normal?;F@ç
[I"orthogonal?;F@ç
[I"permutation?;F@ç
[I"	rank;F@ç
[I"rank_e;F@ç
[I"	real;F@ç
[I"
real?;F@ç
[I"	rect;F@ç
[I"rectangular;F@ç
[I"
regular?;F@ç
[I"
round;F@ç
[I"row;F@ç
[I"row_count;F@ç
[I"
row_size;T@ç
[I"row_vectors;F@ç
[I"singular?;F@ç
[I"square?;F@ç
[I"symmetric?;F@ç
[I"t;F@ç
[I"	to_a;F@ç
[I"	to_s;F@ç
[I"tr;F@ç
[I"
trace;F@ç
[I"transpose;F@ç
[I"
unitary?;F@ç
[I"upper_triangular?;F@ç
[I"vstack;F@ç
[I"
zero?;F@ç
[;[[;[	[I"[]=;F@ç
[I"determinant_bareiss;F@ç
[I"set_component;F@ç
[I"set_element;F@ç
[[I"ConversionHelper;To;;[;@Ü
;0@ç
[U:RDoc::Context::Section[i0o;;[;0;0[@Ü
@ß
@â
@â
cRDoc::TopLevel