Matrix

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:

• Matrix[*rows]

• Matrix.[](*rows)

• Matrix.rows(rows, copy = true)

• Matrix.columns(columns)

• Matrix.build(row_size, column_size, &block)

• Matrix.diagonal(*values)

• Matrix.scalar(n, value)

• Matrix.identity(n)

• Matrix.unit(n)

• Matrix.I(n)

• Matrix.zero(n)

• Matrix.row_vector(row)

• Matrix.column_vector(column)

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

• [](i, j)

• #row_size

• #column_size

• #row(i)

• #column(j)

• #collect

• #map

• #each

• #each_with_index

• #minor(*param)

Properties of a matrix:

• #empty?

• #real?

• #regular?

• #singular?

• #square?

Matrix arithmetic:

• *(m)

• +(m)

• -(m)

• #/(m)

• #inverse

• #inv

• **

Matrix functions:

• #determinant

• #det

• #rank

• #trace

• #tr

• #transpose

• #t

Complex arithmetic:

• conj

• conjugate

• imag

• imaginary

• real

• rect

• rectangular

Conversion to other data types:

• #coerce(other)

• #row_vectors

• #column_vectors

• #to_a

String representations:

• #to_s

• #inspect