module

Geode::SquareMatrix(T, M, N)

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.

Instance methods

determinant

Computes the determinant of this matrix.

This method can only be called on square matrices.

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

Source

diagonal

Retrieves the elements of the main diagonal.

Returns the elements as a vector.

This method can only be called on square matrices.

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

Source

each_diagonal

Enumerates through the elements of the main diagonal.

This method can only be called on square matrices.

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

# Output:
# 1
# 5
# 9

Source

each_diagonal

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

This method can only be called on square matrices.

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

Source

inv

Computes the inverse of this matrix.

This method can only be called on square matrices. Returns nil if there is no inverse.

matrix = Matrix[[1.0, 4.0, 7.0], [5.0, 8.0, 2.0], [9.0, 3.0, 6.0]]
matrix.inverse # => [
#      [-0.103703704, 0.007407407, 0.118518519],
#      [0.02962963, 0.140740741, −0.081481481],
#      [0.140740741, −0.081481481, 0.02962963]
#    ]
matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.inverse # => nil

Source

inverse

Computes the inverse of this matrix.

This method can only be called on square matrices. Returns nil if there is no inverse.

matrix = Matrix[[1.0, 4.0, 7.0], [5.0, 8.0, 2.0], [9.0, 3.0, 6.0]]
matrix.inverse # => [
#      [-0.103703704, 0.007407407, 0.118518519],
#      [0.02962963, 0.140740741, −0.081481481],
#      [0.140740741, −0.081481481, 0.02962963]
#    ]
matrix = Matrix[[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix.inverse # => nil

Source

trace

Computes the trace of the matrix.

The trace is the sum of the elements along the main diagonal.

This method can only be called on square matrices.

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

Source