Rank, Rownorm, Rref – HP 39g+ User Manual

Page 190: Schur, Size, Specnorm, Specrad

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13-12

Matrices

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)

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