Matrix methods

Constructors
::new	Creates a random number matrix of a given size
::build	Creates a matrix by applying a block
::I	Alias for: identity
::identity	Creates an identity matrix
::[]	Creates a matrix where each argument is a row
::column_vector
::columns
::combine
::diagonal
::empty
::hstack
::row_vector
::rows
::scalar
::unit
::vstack
::zero
Algebra
#*	Matrix multiplication
#**	Matrix exponentiation
#+	Matrix addition
#+@	Unary plus
#add!	Addition with a given matrix
#-	Matrix subtraction
#-@	Unary minus
#sub!	Subtraction from a given matrix.
#/	Matrix division (multiplication by the inverse)
#adjugate	Returns the adjugate of the matrix.
#abs	Absolute value of each element.
#cofactor	Multiplying the first minor by (-1)**(row + column)
#determinant	Determinant of the matrix
#det	Alias for: determinant
#laplace_expansion	Equivalent to the determinant method
#cofactor_expansion	Alias for: laplace_expansion
#conjugate	Returns the matrix unchanged
#conj	Alias for: conjugate
#hadamard_product	Hadamard product
#entrywise_product	Alias for: hadamard_product
#first_minor	Deletes given row and column
#inverse	Returns the inverse of the matrix.
#inv	Alias for: inverse
#rank	Returns the rank of the matrix
#round	Rounds each element
#transpose	Creates a new matrix by transposing
#t	Alias for: transpose
#trace	Sum of diagonal elements
#tr	Alias for: trace
#imaginary	Returns a zero-matrix of the same size
#imag	Alias for: imaginary
#real	Returns the matrix unchanged
#rect	Returns the real and imaginary parts of the matrix.
#rectangular	Alias for: rect
Comparators
#eql?	Checking matrices for equality
#==	Checking matrices for equality
#>=	Check for greater than or equa
#<=	Check for less than or equa
#>	Check for greater
#<	Check for less
Predicates
#antisymmetric?	Checks the matrix for antisymmetry
#diagonal?	Checks the diagonality of the matrix
#empty?	Check the matrix for emptiness
#hermitian?	Alias for: symmetric?
#lower_triangular?	Check the matrix for lower triangularity
#upper_triangular?	Check the matrix for upper triangularity
#normal?	Checking the normality of the matrix
#orthogonal?	Checking the matrix for orthogonality
#permutation?	Checks if the matrix is a permutation matrix
#regular?	Checking whether the matrix is regular
#singular?	Checking whether the matrix is singular
#skew_symmetric?	Alias for: antisymmetric?
#square?	Check if the matrix is square
#symmetric?	Check if the matrix is symmetric
#unitary?	Check if the matrix is unitary
#zero?	Check if the matrix is zero-matrix
#real?	Always return true