Matrix Math and Special Matrices

{ } Array Construction	Create a series or multiple column array
*^ (Matrix Multiply)	Multiply two matrices
\^ (Matrix Solve)	Matrix solve
/^ (Matrix Right Division)	Matrix right division
^^ (Matrix Power)	Raise a matrix to a power
' (Matrix Transpose)	Swap the rows and columns of a specified table
~^ (Conjugate Transpose)	Complex conjugate transpose
BALANCE	Balance a matrix
CHOLESKY	Compute the Cholesky factorization of a square matrix
COLNOS	Return an array of COL numbers
COND	Estimate the condition number of a matrix
CROSSPROD	Calculate the matrix cross product
DET	Calculate matrix determinant
DIAGONAL	Get the main diagonal of a matrix
EIG	Compute the eigenvalues and eigenvectors of a square matrix
EIGVAL	Get eigenvalues of a matrix
EIGVEC	Get eigenvectors of a matrix
EXPM	Calculate the exponential of a matrix
FUNM	Calculate a general matrix function
HANKEL	Generate a Hankel matrix
HESS	Find the Hessenberg form of a matrix
INNERPROD	Matrix Inner Product
INTERPOSE	Apply REDUCE associatively
INVERSE	Invert a matrix
KRON	Compute the Kronecker tensor product
LLU	Lower triangular matrix in LU decomposition
LOGM	Calculate the matrix log
LOTRI	Return the lower triangle of a matrix including the main diagonal
LOTRIX	Return the lower triangle of a matrix excluding the main diagonal
LU	LU decomposition
MDIV	Matrix solve
MMULT	Matrix multiplication
NBEIGVAL	Get eigenvalues without balancing step
NBEIGVEC	Get eigenvectors without balancing step
NORM	Calculate the norm of a series or array
NULL	Compute an orthogonal basis for the Null space of an array
NUMEL	Total number of matrix elements
ORTH	Compute an orthonormal basis of an array using SVD
OUTERPROD	Outer product of two vectors
PARTPROD	Partial product of two vectors
PINV	Calculate the pseudo inverse of a matrix using SVD
QR	QR decomposition
RANK	Estimate the number of independent rows or columns of an array
RCOND	Estimate the reciprocal condition number
ROWNOS	Return an array of row numbers
SCHUR	Generate the SCHUR form of a matrix
SIZE	Return a 2 point series containing the dimensions of an array
SQRTM	Calculate the matrix square root
SVD	Singular value decomposition
TOEPLITZ	Generate a Toeplitz matrix
TRACE	Calculate the trace of an array, the sum of the diagonal elements
TRANSPOSE	Transpose a matrix
TRANSPOSECONJ	Conjugate transpose a matrix
TRIL	Lower triangular matrix
TRIU	Upper triangular matrix
ULU	Upper triangular matrix in LU decomposition
UPTRI	Return the upper triangle of a matrix including the main diagonal
UPTRIX	Return the upper triangle of a matrix excluding the main diagonal
USCHUR	Compute the SCHUR form of an input matrix
VANDER	Generate a Vandermonde matrix