Type:
Class
Constants:
SELECTORS : {all: true, diagonal: true, off_diagonal: true, lower: true, strict_lower: true, strict_upper: true, upper: true}.freeze

The Matrix class represents a mathematical matrix. It provides methods for creating matrices, operating on them arithmetically and algebraically, and determining their mathematical properties (trace, rank, inverse, determinant).

Method Catalogue

To create a matrix:

To access Matrix elements/columns/rows/submatrices/properties:

Properties of a matrix:

Matrix arithmetic:

Matrix functions:

Matrix decompositions:

Complex arithmetic:

  • conj

  • conjugate

  • imag

  • imaginary

  • real

  • rect

  • rectangular

Conversion to other data types:

String representations:

singular?
  • References/Ruby on Rails/Ruby/Classes/Matrix/Matrix::LUPDecomposition

singular?() Instance Public methods Returns true if U

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scalar
  • References/Ruby on Rails/Ruby/Classes/Matrix

scalar(n, value) Class Public methods Creates an n by n

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to_ary
  • References/Ruby on Rails/Ruby/Classes/Matrix/Matrix::EigenvalueDecomposition

to_ary() Instance Public methods Returns [eigenvector_matrix,

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empty
  • References/Ruby on Rails/Ruby/Classes/Matrix

empty(row_count = 0, column_count = 0) Class Public methods Creates a empty

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eigenvalues
  • References/Ruby on Rails/Ruby/Classes/Matrix/Matrix::EigenvalueDecomposition

eigenvalues() Instance Public methods Returns the eigenvalues in an array

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new
  • References/Ruby on Rails/Ruby/Classes/Matrix/Matrix::EigenvalueDecomposition

new(a) Class Public methods Constructs the eigenvalue decomposition for a square

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build
  • References/Ruby on Rails/Ruby/Classes/Matrix

build(row_count, column_count = row_count) Class Public methods Creates a matrix

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element
  • References/Ruby on Rails/Ruby/Classes/Matrix

element(i, j) Instance Public methods Alias for:

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trace
  • References/Ruby on Rails/Ruby/Classes/Matrix

trace() Instance Public methods Returns the trace (sum of diagonal elements)

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row_size
  • References/Ruby on Rails/Ruby/Classes/Matrix

row_size() Instance Public methods Alias for:

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