module Geode::SquareMatrix(T, M, N)

Overview

Operations applicable to square matrices.

Intended to be used as a mix-in on matrix types. M and N are positive integers indicating the number of rows and columns respectively. These methods will produce a compilation error when called on a non-square matrix.

Direct including types

• Geode::Matrix(T, M, N)
• Geode::Matrix1x1(T)
• Geode::Matrix2x2(T)
• Geode::Matrix3x3(T)
• Geode::Matrix4x4(T)

Defined in:

Instance Method Summary

• #determinant

  Computes the determinant of this matrix.

• #diagonal : CommonVector(T, N)

  Retrieves the elements of the main diagonal.

• #each_diagonal(& : T -> _) : Nil

  Enumerates through the elements of the main diagonal.

• #each_diagonal

  Returns an iterator that enumerates through the elements of the main diagonal.

• #trace

  Computes the trace of the matrix.

Instance Method Detail

matrix = Matrix[[1, 4, 7], [5, 8, 2], [9, 3, 6]]
matrix.determinant # => -405

matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.diagonal # => (1, 5, 9)

matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.each_diagonal do |e|
  puts e
end

# Output:
# 1
# 5
# 9

matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.each_diagonal.to_a # => [1, 5, 9]

matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.trace # => 15