COLNORM(matrix)

Column norm: finds the maximum value (over all columns) of the sums of the absolute values of all elements in a column

COND(matrix)

Condition number: finds the 1norm (column norm) of a square matrix

CROSS(vector 1, vector 2)

Cross product of vector 1 with vector 2

DET(matrix)

Determinant of a square matrix

DOT(matrix1, matrix2)

Dot product of two arrays, matrix1 matrix2

EIGENVAL(matrix)

Displays the eigenvalues in vector form for matrix

EIGENVV(matrix)

Eigenvectors and Eigenvalues for a square matrix. Displays a list of two arrays. The first contains the eigenvectors and the second contains the eigenvalues

IDENMAT(size)

Identity matrix: creates a square matrix of dimension (size x size) whose diagonal elements are 1 and off diagonal elements are zero

INVERSE(matrix)

Inverts a square matrix (real or complex)

LQ(matrix)

LQ factorization: Factors an m x n matrix into three matrices: {[[m x n lowertrapezoidal]], [[n x n orthogonal]], and [[m x m permutation]]}.

LSQ(matrix1, matrix2)

Least squares: displays the minimum norm least squares matrix (or vector)

LU(matrix)

Lu decomposition: factors a square matrix into three matrices: {[[lowertriangular]], [[uppertriangular]], and [[permutation]]}. The uppertriangular has ones on its diagonal.

MAKEMAT(expression, rows, columns)

Make matrix: creates a matrix of dimension rows x columns, using expressions to calculate each element. If the expression contains the variables I and J, then the calculation for each element substitutes the current row number for I and the current column number for J
Example: MAKEMAT(0, 3, 3) returns a 3 x 3 zero matrix, [[0, 0, 0], [0, 0, 0], [0, 0, 0]]

QR(matrix)

QR factorization: factors an m x n matrix into three matrices: {[[m x m orthogonal]], [[m x n uppertrapezoidal]], [[n x n permutation]]}

RANK(matrix)

Rank of rectangular matrix

ROWNORM(matrix)

Row norm: finds the maximum value (over all rows) for the sums of absolute values of all elements in a row

RREF(matrix)

Reduced row echelon form: changes a rectangular matrix to its reduced rowechelon form

SCHUR(matrix)

Schur decomposition: Factors a square matrix into two matrices. If the matrix is real then the result is {[[orthogonal]], [[upperquasi triangular]]}. If the matrix is complex, then the result is {[[unitary]] [[uppertriangular]]}

SIZE(matrix)

Dimensions of matrix returned as a list (rows, columns)

SPECNORM(matrix)

Spectral norm of a matrix

SPECRAD(matrix)

Spectral radius of a square matrix

SVD(matrix)

Singular value decomposition: factors an m x n matrix into two matrices and a vector {[[m x m square orthogonal]], [[n x n square orthogonal]], and [real]}

SVL(matrix)

Singular values: returns a vector containing the singular value of a matrix

TRACE(matrix)

Finds the trace of a square matrix. The trace is equal to the sum of the diagonal elements (it is also equal to the sum of the eigenvalues)

TRN(matrix)

Transposes matrix: for a complex matrix, TRN finds the conjugate transpose
