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:

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

v() Instance Public methods Alias for:

2025-01-10 15:47:30
unitary?
  • References/Ruby on Rails/Ruby/Classes/Matrix

unitary?() Instance Public methods Returns true is this is a unitary

2025-01-10 15:47:30
conj
  • References/Ruby on Rails/Ruby/Classes/Matrix

conj() Instance Public methods Alias for:

2025-01-10 15:47:30
diagonal?
  • References/Ruby on Rails/Ruby/Classes/Matrix

diagonal?() Instance Public methods Returns true is this is a diagonal

2025-01-10 15:47:30
row_vectors
  • References/Ruby on Rails/Ruby/Classes/Matrix

row_vectors() Instance Public methods Returns an array of the row vectors of

2025-01-10 15:47:30
eigenvalue_matrix
  • References/Ruby on Rails/Ruby/Classes/Matrix/Matrix::EigenvalueDecomposition

eigenvalue_matrix() Instance Public methods Returns the block diagonal eigenvalue

2025-01-10 15:47:30
rect
  • References/Ruby on Rails/Ruby/Classes/Matrix

rect() Instance Public methods Returns an array containing matrices corresponding

2025-01-10 15:47:30
conjugate
  • References/Ruby on Rails/Ruby/Classes/Matrix

conjugate() Instance Public methods Returns the conjugate of the matrix.

2025-01-10 15:47:30
lup
  • References/Ruby on Rails/Ruby/Classes/Matrix

lup() Instance Public methods Returns the LUP decomposition of the matrix; see

2025-01-10 15:47:30
**
  • References/Ruby on Rails/Ruby/Classes/Matrix

**(other) Instance Public methods

2025-01-10 15:47:30