calculation for each element substitutes the current row

 

number for I and the current column number for J.

 

MAKEMAT(expression, rows, columns)

 

Example

 

MAKEMAT(0,3,3) returns a 3×3 zero matrix,

 

[[0,0,0],[0,0,0],[0,0,0]].

QR

QR Factorization. Factors an m×n matrix into three

 

matrices: {[[m×m orthogonal]],[[m×n

 

uppertrapezoidal]],[[n×n permutation]]}.

 

QR(matrix)

RANK

Rank of a rectangular matrix.

 

RANK(matrix)

ROWNORM

Row Norm. Finds the maximum value (over all rows) for

 

the sums of the absolute values of all elements in a row.

 

ROWNORM(matrix)

RREF

Reduced-Row Echelon Form. Changes a rectangular

 

matrix to its reduced row-echelon form.

 

RREF(matrix)

SCHUR

Schur Decomposition. Factors a square matrix into two

 

matrices. If matrix is real, then the result is

 

{[[orthogonal]],[[upper-quasi triangular]]}.

 

If matrix is complex, then the result is

 

{[[unitary]],[[upper-triangular]]}.

 

SCHUR(matrix)

SIZE

Dimensions of matrix. Returned as a list: {rows,columns}.

 

SIZE(matrix)

SPECNORM

Spectral Norm of matrix.

 

SPECNORM(matrix)

SPECRAD

Spectral Radius of a square matrix.

 

SPECRAD(matrix)

13-12

Matrices